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Finding the Fourth Proportional to 708.46, 1,062.62 and 297.52

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Solution

The fourth proportional to 708.46, 1,062.62 and 297.52 is: 446.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.46 : 1,062.62 = 297.52 : x
  2. Step 2: Convert to fraction form
    708.46/1,062.62 = 297.52/x
  3. Step 3: Cross multiply
    708.46x = 1,062.62 × 297.52
  4. Step 4: Simplify right side
    708.46x = 316,150.70
  5. Step 5: Solve for x
    x = 316,150.70/708.46
  6. Step 6: Final answer
    x = 446.25

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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.