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Finding the Fourth Proportional to 666.92, 920.76 and 431.08

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Solution

The fourth proportional to 666.92, 920.76 and 431.08 is: 595.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.92 : 920.76 = 431.08 : x
  2. Step 2: Convert to fraction form
    666.92/920.76 = 431.08/x
  3. Step 3: Cross multiply
    666.92x = 920.76 × 431.08
  4. Step 4: Simplify right side
    666.92x = 396,921.22
  5. Step 5: Solve for x
    x = 396,921.22/666.92
  6. Step 6: Final answer
    x = 595.16

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