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Finding the Fourth Proportional to 434.97, 652.45 and 178.47

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Solution

The fourth proportional to 434.97, 652.45 and 178.47 is: 267.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.97 : 652.45 = 178.47 : x
  2. Step 2: Convert to fraction form
    434.97/652.45 = 178.47/x
  3. Step 3: Cross multiply
    434.97x = 652.45 × 178.47
  4. Step 4: Simplify right side
    434.97x = 116,442.75
  5. Step 5: Solve for x
    x = 116,442.75/434.97
  6. Step 6: Final answer
    x = 267.70

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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.