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Finding the Fourth Proportional to 584.04, 876.12 and 327

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Solution

The fourth proportional to 584.04, 876.12 and 327 is: 490.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.04 : 876.12 = 327 : x
  2. Step 2: Convert to fraction form
    584.04/876.12 = 327/x
  3. Step 3: Cross multiply
    584.04x = 876.12 × 327
  4. Step 4: Simplify right side
    584.04x = 286,491.24
  5. Step 5: Solve for x
    x = 286,491.24/584.04
  6. Step 6: Final answer
    x = 490.53

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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.