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Finding the Fourth Proportional to 697.28, 962.08 and 473.24

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Solution

The fourth proportional to 697.28, 962.08 and 473.24 is: 652.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.28 : 962.08 = 473.24 : x
  2. Step 2: Convert to fraction form
    697.28/962.08 = 473.24/x
  3. Step 3: Cross multiply
    697.28x = 962.08 × 473.24
  4. Step 4: Simplify right side
    697.28x = 455,295.96
  5. Step 5: Solve for x
    x = 455,295.96/697.28
  6. Step 6: Final answer
    x = 652.96

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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.