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Finding the Fourth Proportional to 477.68, 716.52 and 406.04

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Solution

The fourth proportional to 477.68, 716.52 and 406.04 is: 609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.68 : 716.52 = 406.04 : x
  2. Step 2: Convert to fraction form
    477.68/716.52 = 406.04/x
  3. Step 3: Cross multiply
    477.68x = 716.52 × 406.04
  4. Step 4: Simplify right side
    477.68x = 290,935.78
  5. Step 5: Solve for x
    x = 290,935.78/477.68
  6. Step 6: Final answer
    x = 609.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.