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Finding the Fourth Proportional to 584.88, 876.72 and 422.16

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Solution

The fourth proportional to 584.88, 876.72 and 422.16 is: 632.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.88 : 876.72 = 422.16 : x
  2. Step 2: Convert to fraction form
    584.88/876.72 = 422.16/x
  3. Step 3: Cross multiply
    584.88x = 876.72 × 422.16
  4. Step 4: Simplify right side
    584.88x = 370,116.12
  5. Step 5: Solve for x
    x = 370,116.12/584.88
  6. Step 6: Final answer
    x = 632.81

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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.