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Finding the Fourth Proportional to 584.23, 876.57 and 237.80

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Solution

The fourth proportional to 584.23, 876.57 and 237.80 is: 356.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.23 : 876.57 = 237.80 : x
  2. Step 2: Convert to fraction form
    584.23/876.57 = 237.80/x
  3. Step 3: Cross multiply
    584.23x = 876.57 × 237.80
  4. Step 4: Simplify right side
    584.23x = 208,448.35
  5. Step 5: Solve for x
    x = 208,448.35/584.23
  6. Step 6: Final answer
    x = 356.79

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Why These Related Problems?

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