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Finding the Fourth Proportional to 572.38, 789.30 and 467.13

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Solution

The fourth proportional to 572.38, 789.30 and 467.13 is: 644.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.38 : 789.30 = 467.13 : x
  2. Step 2: Convert to fraction form
    572.38/789.30 = 467.13/x
  3. Step 3: Cross multiply
    572.38x = 789.30 × 467.13
  4. Step 4: Simplify right side
    572.38x = 368,699.43
  5. Step 5: Solve for x
    x = 368,699.43/572.38
  6. Step 6: Final answer
    x = 644.16

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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.