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Finding the Fourth Proportional to 532.08, 797.76 and 257.92

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Solution

The fourth proportional to 532.08, 797.76 and 257.92 is: 386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.08 : 797.76 = 257.92 : x
  2. Step 2: Convert to fraction form
    532.08/797.76 = 257.92/x
  3. Step 3: Cross multiply
    532.08x = 797.76 × 257.92
  4. Step 4: Simplify right side
    532.08x = 205,758.26
  5. Step 5: Solve for x
    x = 205,758.26/532.08
  6. Step 6: Final answer
    x = 386.71

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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.