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Finding the Fourth Proportional to 704.92, 972.74 and 406.08

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Solution

The fourth proportional to 704.92, 972.74 and 406.08 is: 560.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.92 : 972.74 = 406.08 : x
  2. Step 2: Convert to fraction form
    704.92/972.74 = 406.08/x
  3. Step 3: Cross multiply
    704.92x = 972.74 × 406.08
  4. Step 4: Simplify right side
    704.92x = 395,010.26
  5. Step 5: Solve for x
    x = 395,010.26/704.92
  6. Step 6: Final answer
    x = 560.36

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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.