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Finding the Fourth Proportional to 697.30, 962.65 and 476.57

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Solution

The fourth proportional to 697.30, 962.65 and 476.57 is: 657.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.30 : 962.65 = 476.57 : x
  2. Step 2: Convert to fraction form
    697.30/962.65 = 476.57/x
  3. Step 3: Cross multiply
    697.30x = 962.65 × 476.57
  4. Step 4: Simplify right side
    697.30x = 458,773.11
  5. Step 5: Solve for x
    x = 458,773.11/697.30
  6. Step 6: Final answer
    x = 657.93

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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.