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Finding the Fourth Proportional to 704.65, 972.49 and 405.91

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Solution

The fourth proportional to 704.65, 972.49 and 405.91 is: 560.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.65 : 972.49 = 405.91 : x
  2. Step 2: Convert to fraction form
    704.65/972.49 = 405.91/x
  3. Step 3: Cross multiply
    704.65x = 972.49 × 405.91
  4. Step 4: Simplify right side
    704.65x = 394,738.96
  5. Step 5: Solve for x
    x = 394,738.96/704.65
  6. Step 6: Final answer
    x = 560.19

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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.