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Finding the Fourth Proportional to 572.13, 788.94 and 461.16

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Solution

The fourth proportional to 572.13, 788.94 and 461.16 is: 635.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.13 : 788.94 = 461.16 : x
  2. Step 2: Convert to fraction form
    572.13/788.94 = 461.16/x
  3. Step 3: Cross multiply
    572.13x = 788.94 × 461.16
  4. Step 4: Simplify right side
    572.13x = 363,827.57
  5. Step 5: Solve for x
    x = 363,827.57/572.13
  6. Step 6: Final answer
    x = 635.92

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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.