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Finding the Fourth Proportional to 489.28, 735.18 and 457.68

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Solution

The fourth proportional to 489.28, 735.18 and 457.68 is: 687.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.28 : 735.18 = 457.68 : x
  2. Step 2: Convert to fraction form
    489.28/735.18 = 457.68/x
  3. Step 3: Cross multiply
    489.28x = 735.18 × 457.68
  4. Step 4: Simplify right side
    489.28x = 336,477.18
  5. Step 5: Solve for x
    x = 336,477.18/489.28
  6. Step 6: Final answer
    x = 687.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.