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Finding the Fourth Proportional to 574.11, 790.91 and 473.87

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Solution

The fourth proportional to 574.11, 790.91 and 473.87 is: 652.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.11 : 790.91 = 473.87 : x
  2. Step 2: Convert to fraction form
    574.11/790.91 = 473.87/x
  3. Step 3: Cross multiply
    574.11x = 790.91 × 473.87
  4. Step 4: Simplify right side
    574.11x = 374,788.52
  5. Step 5: Solve for x
    x = 374,788.52/574.11
  6. Step 6: Final answer
    x = 652.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.