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Finding the Fourth Proportional to 584.53, 876.04 and 237.46

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Solution

The fourth proportional to 584.53, 876.04 and 237.46 is: 355.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.53 : 876.04 = 237.46 : x
  2. Step 2: Convert to fraction form
    584.53/876.04 = 237.46/x
  3. Step 3: Cross multiply
    584.53x = 876.04 × 237.46
  4. Step 4: Simplify right side
    584.53x = 208,024.46
  5. Step 5: Solve for x
    x = 208,024.46/584.53
  6. Step 6: Final answer
    x = 355.88

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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.