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Finding the Fourth Proportional to 587.42, 880.49 and 382.13

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Solution

The fourth proportional to 587.42, 880.49 and 382.13 is: 572.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.42 : 880.49 = 382.13 : x
  2. Step 2: Convert to fraction form
    587.42/880.49 = 382.13/x
  3. Step 3: Cross multiply
    587.42x = 880.49 × 382.13
  4. Step 4: Simplify right side
    587.42x = 336,464.80
  5. Step 5: Solve for x
    x = 336,464.80/587.42
  6. Step 6: Final answer
    x = 572.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.