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Finding the Fourth Proportional to 642.48, 962.82 and 317.52

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Solution

The fourth proportional to 642.48, 962.82 and 317.52 is: 475.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.48 : 962.82 = 317.52 : x
  2. Step 2: Convert to fraction form
    642.48/962.82 = 317.52/x
  3. Step 3: Cross multiply
    642.48x = 962.82 × 317.52
  4. Step 4: Simplify right side
    642.48x = 305,714.61
  5. Step 5: Solve for x
    x = 305,714.61/642.48
  6. Step 6: Final answer
    x = 475.84

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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.