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Finding the Fourth Proportional to 601.92, 831.24 and 514.08

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Solution

The fourth proportional to 601.92, 831.24 and 514.08 is: 709.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.92 : 831.24 = 514.08 : x
  2. Step 2: Convert to fraction form
    601.92/831.24 = 514.08/x
  3. Step 3: Cross multiply
    601.92x = 831.24 × 514.08
  4. Step 4: Simplify right side
    601.92x = 427,323.86
  5. Step 5: Solve for x
    x = 427,323.86/601.92
  6. Step 6: Final answer
    x = 709.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.