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Finding the Fourth Proportional to 584.65, 876.68 and 237.92

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Solution

The fourth proportional to 584.65, 876.68 and 237.92 is: 356.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.65 : 876.68 = 237.92 : x
  2. Step 2: Convert to fraction form
    584.65/876.68 = 237.92/x
  3. Step 3: Cross multiply
    584.65x = 876.68 × 237.92
  4. Step 4: Simplify right side
    584.65x = 208,575.92
  5. Step 5: Solve for x
    x = 208,575.92/584.65
  6. Step 6: Final answer
    x = 356.75

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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.