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Finding the Fourth Proportional to 591.61, 815.83 and 467.02

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Solution

The fourth proportional to 591.61, 815.83 and 467.02 is: 644.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.61 : 815.83 = 467.02 : x
  2. Step 2: Convert to fraction form
    591.61/815.83 = 467.02/x
  3. Step 3: Cross multiply
    591.61x = 815.83 × 467.02
  4. Step 4: Simplify right side
    591.61x = 381,008.93
  5. Step 5: Solve for x
    x = 381,008.93/591.61
  6. Step 6: Final answer
    x = 644.02

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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.