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Finding the Fourth Proportional to 512.32, 707.68 and 460.48

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Solution

The fourth proportional to 512.32, 707.68 and 460.48 is: 636.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.32 : 707.68 = 460.48 : x
  2. Step 2: Convert to fraction form
    512.32/707.68 = 460.48/x
  3. Step 3: Cross multiply
    512.32x = 707.68 × 460.48
  4. Step 4: Simplify right side
    512.32x = 325,872.49
  5. Step 5: Solve for x
    x = 325,872.49/512.32
  6. Step 6: Final answer
    x = 636.07

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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.