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Finding the Fourth Proportional to 332.52, 460.14 and 283.32

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Solution

The fourth proportional to 332.52, 460.14 and 283.32 is: 392.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.52 : 460.14 = 283.32 : x
  2. Step 2: Convert to fraction form
    332.52/460.14 = 283.32/x
  3. Step 3: Cross multiply
    332.52x = 460.14 × 283.32
  4. Step 4: Simplify right side
    332.52x = 130,366.86
  5. Step 5: Solve for x
    x = 130,366.86/332.52
  6. Step 6: Final answer
    x = 392.06

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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.