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Finding the Fourth Proportional to 572.82, 861.12 and 465.36

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Solution

The fourth proportional to 572.82, 861.12 and 465.36 is: 699.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.82 : 861.12 = 465.36 : x
  2. Step 2: Convert to fraction form
    572.82/861.12 = 465.36/x
  3. Step 3: Cross multiply
    572.82x = 861.12 × 465.36
  4. Step 4: Simplify right side
    572.82x = 400,730.80
  5. Step 5: Solve for x
    x = 400,730.80/572.82
  6. Step 6: Final answer
    x = 699.58

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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.