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Finding the Fourth Proportional to 571.92, 788.64 and 461.04

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Solution

The fourth proportional to 571.92, 788.64 and 461.04 is: 635.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.92 : 788.64 = 461.04 : x
  2. Step 2: Convert to fraction form
    571.92/788.64 = 461.04/x
  3. Step 3: Cross multiply
    571.92x = 788.64 × 461.04
  4. Step 4: Simplify right side
    571.92x = 363,594.59
  5. Step 5: Solve for x
    x = 363,594.59/571.92
  6. Step 6: Final answer
    x = 635.74

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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.