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Finding the Fourth Proportional to 532.48, 797.46 and 339.52

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Solution

The fourth proportional to 532.48, 797.46 and 339.52 is: 508.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.48 : 797.46 = 339.52 : x
  2. Step 2: Convert to fraction form
    532.48/797.46 = 339.52/x
  3. Step 3: Cross multiply
    532.48x = 797.46 × 339.52
  4. Step 4: Simplify right side
    532.48x = 270,753.62
  5. Step 5: Solve for x
    x = 270,753.62/532.48
  6. Step 6: Final answer
    x = 508.48

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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.