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Finding the Fourth Proportional to 708.17, 1,062.09 and 297.61

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Solution

The fourth proportional to 708.17, 1,062.09 and 297.61 is: 446.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.17 : 1,062.09 = 297.61 : x
  2. Step 2: Convert to fraction form
    708.17/1,062.09 = 297.61/x
  3. Step 3: Cross multiply
    708.17x = 1,062.09 × 297.61
  4. Step 4: Simplify right side
    708.17x = 316,085.95
  5. Step 5: Solve for x
    x = 316,085.95/708.17
  6. Step 6: Final answer
    x = 446.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.