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Finding the Fourth Proportional to 877.52, 1,316.58 and 329.76

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Solution

The fourth proportional to 877.52, 1,316.58 and 329.76 is: 494.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.52 : 1,316.58 = 329.76 : x
  2. Step 2: Convert to fraction form
    877.52/1,316.58 = 329.76/x
  3. Step 3: Cross multiply
    877.52x = 1,316.58 × 329.76
  4. Step 4: Simplify right side
    877.52x = 434,155.42
  5. Step 5: Solve for x
    x = 434,155.42/877.52
  6. Step 6: Final answer
    x = 494.75

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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.