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Finding the Fourth Proportional to 666.90, 920.21 and 431.10

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Solution

The fourth proportional to 666.90, 920.21 and 431.10 is: 594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.90 : 920.21 = 431.10 : x
  2. Step 2: Convert to fraction form
    666.90/920.21 = 431.10/x
  3. Step 3: Cross multiply
    666.90x = 920.21 × 431.10
  4. Step 4: Simplify right side
    666.90x = 396,700.38
  5. Step 5: Solve for x
    x = 396,700.38/666.90
  6. Step 6: Final answer
    x = 594.84

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.