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Finding the Fourth Proportional to 584.69, 876.42 and 237.98

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Solution

The fourth proportional to 584.69, 876.42 and 237.98 is: 356.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.69 : 876.42 = 237.98 : x
  2. Step 2: Convert to fraction form
    584.69/876.42 = 237.98/x
  3. Step 3: Cross multiply
    584.69x = 876.42 × 237.98
  4. Step 4: Simplify right side
    584.69x = 208,570.43
  5. Step 5: Solve for x
    x = 208,570.43/584.69
  6. Step 6: Final answer
    x = 356.72

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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.