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Finding the Fourth Proportional to 666.69, 920.13 and 401.16

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Solution

The fourth proportional to 666.69, 920.13 and 401.16 is: 553.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.69 : 920.13 = 401.16 : x
  2. Step 2: Convert to fraction form
    666.69/920.13 = 401.16/x
  3. Step 3: Cross multiply
    666.69x = 920.13 × 401.16
  4. Step 4: Simplify right side
    666.69x = 369,119.35
  5. Step 5: Solve for x
    x = 369,119.35/666.69
  6. Step 6: Final answer
    x = 553.66

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Half scale
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Double scale
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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.