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Finding the Fourth Proportional to 584.09, 876.75 and 237.65

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Solution

The fourth proportional to 584.09, 876.75 and 237.65 is: 356.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.09 : 876.75 = 237.65 : x
  2. Step 2: Convert to fraction form
    584.09/876.75 = 237.65/x
  3. Step 3: Cross multiply
    584.09x = 876.75 × 237.65
  4. Step 4: Simplify right side
    584.09x = 208,354.66
  5. Step 5: Solve for x
    x = 208,354.66/584.09
  6. Step 6: Final answer
    x = 356.72

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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.