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Finding the Fourth Proportional to 591.74, 814.35 and 576.48

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Solution

The fourth proportional to 591.74, 814.35 and 576.48 is: 793.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.74 : 814.35 = 576.48 : x
  2. Step 2: Convert to fraction form
    591.74/814.35 = 576.48/x
  3. Step 3: Cross multiply
    591.74x = 814.35 × 576.48
  4. Step 4: Simplify right side
    591.74x = 469,456.49
  5. Step 5: Solve for x
    x = 469,456.49/591.74
  6. Step 6: Final answer
    x = 793.35

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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.