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Finding the Fourth Proportional to 727.18, 1,002.96 and 465

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Solution

The fourth proportional to 727.18, 1,002.96 and 465 is: 641.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.18 : 1,002.96 = 465 : x
  2. Step 2: Convert to fraction form
    727.18/1,002.96 = 465/x
  3. Step 3: Cross multiply
    727.18x = 1,002.96 × 465
  4. Step 4: Simplify right side
    727.18x = 466,376.40
  5. Step 5: Solve for x
    x = 466,376.40/727.18
  6. Step 6: Final answer
    x = 641.35

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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.