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Finding the Fourth Proportional to 697.55, 962.66 and 402.91

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Solution

The fourth proportional to 697.55, 962.66 and 402.91 is: 556.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.55 : 962.66 = 402.91 : x
  2. Step 2: Convert to fraction form
    697.55/962.66 = 402.91/x
  3. Step 3: Cross multiply
    697.55x = 962.66 × 402.91
  4. Step 4: Simplify right side
    697.55x = 387,863.94
  5. Step 5: Solve for x
    x = 387,863.94/697.55
  6. Step 6: Final answer
    x = 556.04

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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.