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Finding the Fourth Proportional to 666.38, 919.32 and 442.42

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Solution

The fourth proportional to 666.38, 919.32 and 442.42 is: 610.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.38 : 919.32 = 442.42 : x
  2. Step 2: Convert to fraction form
    666.38/919.32 = 442.42/x
  3. Step 3: Cross multiply
    666.38x = 919.32 × 442.42
  4. Step 4: Simplify right side
    666.38x = 406,723.26
  5. Step 5: Solve for x
    x = 406,723.26/666.38
  6. Step 6: Final answer
    x = 610.35

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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.