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Finding the Fourth Proportional to 704.62, 972.57 and 410.01

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Solution

The fourth proportional to 704.62, 972.57 and 410.01 is: 565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.62 : 972.57 = 410.01 : x
  2. Step 2: Convert to fraction form
    704.62/972.57 = 410.01/x
  3. Step 3: Cross multiply
    704.62x = 972.57 × 410.01
  4. Step 4: Simplify right side
    704.62x = 398,763.43
  5. Step 5: Solve for x
    x = 398,763.43/704.62
  6. Step 6: Final answer
    x = 565.93

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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.