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Finding the Fourth Proportional to 697.53, 962.27 and 402.63

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Solution

The fourth proportional to 697.53, 962.27 and 402.63 is: 555.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.53 : 962.27 = 402.63 : x
  2. Step 2: Convert to fraction form
    697.53/962.27 = 402.63/x
  3. Step 3: Cross multiply
    697.53x = 962.27 × 402.63
  4. Step 4: Simplify right side
    697.53x = 387,438.77
  5. Step 5: Solve for x
    x = 387,438.77/697.53
  6. Step 6: Final answer
    x = 555.44

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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.