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Finding the Fourth Proportional to 584.24, 876.42 and 219.04

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Solution

The fourth proportional to 584.24, 876.42 and 219.04 is: 328.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.24 : 876.42 = 219.04 : x
  2. Step 2: Convert to fraction form
    584.24/876.42 = 219.04/x
  3. Step 3: Cross multiply
    584.24x = 876.42 × 219.04
  4. Step 4: Simplify right side
    584.24x = 191,971.04
  5. Step 5: Solve for x
    x = 191,971.04/584.24
  6. Step 6: Final answer
    x = 328.58

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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.