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Finding the Fourth Proportional to 698.61, 962.44 and 477.28

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Solution

The fourth proportional to 698.61, 962.44 and 477.28 is: 657.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.61 : 962.44 = 477.28 : x
  2. Step 2: Convert to fraction form
    698.61/962.44 = 477.28/x
  3. Step 3: Cross multiply
    698.61x = 962.44 × 477.28
  4. Step 4: Simplify right side
    698.61x = 459,353.36
  5. Step 5: Solve for x
    x = 459,353.36/698.61
  6. Step 6: Final answer
    x = 657.52

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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.