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Finding the Fourth Proportional to 708.68, 1,062.30 and 298.07

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Solution

The fourth proportional to 708.68, 1,062.30 and 298.07 is: 446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.68 : 1,062.30 = 298.07 : x
  2. Step 2: Convert to fraction form
    708.68/1,062.30 = 298.07/x
  3. Step 3: Cross multiply
    708.68x = 1,062.30 × 298.07
  4. Step 4: Simplify right side
    708.68x = 316,639.76
  5. Step 5: Solve for x
    x = 316,639.76/708.68
  6. Step 6: Final answer
    x = 446.80

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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.