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Finding the Fourth Proportional to 970.81, 1,456.97 and 354.92

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Solution

The fourth proportional to 970.81, 1,456.97 and 354.92 is: 532.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.81 : 1,456.97 = 354.92 : x
  2. Step 2: Convert to fraction form
    970.81/1,456.97 = 354.92/x
  3. Step 3: Cross multiply
    970.81x = 1,456.97 × 354.92
  4. Step 4: Simplify right side
    970.81x = 517,098.73
  5. Step 5: Solve for x
    x = 517,098.73/970.81
  6. Step 6: Final answer
    x = 532.65

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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.