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Finding the Fourth Proportional to 673.20, 928.89 and 424.35

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Solution

The fourth proportional to 673.20, 928.89 and 424.35 is: 585.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.20 : 928.89 = 424.35 : x
  2. Step 2: Convert to fraction form
    673.20/928.89 = 424.35/x
  3. Step 3: Cross multiply
    673.20x = 928.89 × 424.35
  4. Step 4: Simplify right side
    673.20x = 394,174.47
  5. Step 5: Solve for x
    x = 394,174.47/673.20
  6. Step 6: Final answer
    x = 585.52

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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.