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Finding the Fourth Proportional to 697.20, 962.10 and 402.56

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Solution

The fourth proportional to 697.20, 962.10 and 402.56 is: 555.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.20 : 962.10 = 402.56 : x
  2. Step 2: Convert to fraction form
    697.20/962.10 = 402.56/x
  3. Step 3: Cross multiply
    697.20x = 962.10 × 402.56
  4. Step 4: Simplify right side
    697.20x = 387,302.98
  5. Step 5: Solve for x
    x = 387,302.98/697.20
  6. Step 6: Final answer
    x = 555.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.