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Finding the Fourth Proportional to 672.78, 929.14 and 463.49

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Solution

The fourth proportional to 672.78, 929.14 and 463.49 is: 640.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.78 : 929.14 = 463.49 : x
  2. Step 2: Convert to fraction form
    672.78/929.14 = 463.49/x
  3. Step 3: Cross multiply
    672.78x = 929.14 × 463.49
  4. Step 4: Simplify right side
    672.78x = 430,647.10
  5. Step 5: Solve for x
    x = 430,647.10/672.78
  6. Step 6: Final answer
    x = 640.10

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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.