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Finding the Fourth Proportional to 672.71, 928.43 and 424.14

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Solution

The fourth proportional to 672.71, 928.43 and 424.14 is: 585.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.71 : 928.43 = 424.14 : x
  2. Step 2: Convert to fraction form
    672.71/928.43 = 424.14/x
  3. Step 3: Cross multiply
    672.71x = 928.43 × 424.14
  4. Step 4: Simplify right side
    672.71x = 393,780.29
  5. Step 5: Solve for x
    x = 393,780.29/672.71
  6. Step 6: Final answer
    x = 585.37

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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.