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Finding the Fourth Proportional to 584.28, 880.42 and 483.82

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Solution

The fourth proportional to 584.28, 880.42 and 483.82 is: 729.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.28 : 880.42 = 483.82 : x
  2. Step 2: Convert to fraction form
    584.28/880.42 = 483.82/x
  3. Step 3: Cross multiply
    584.28x = 880.42 × 483.82
  4. Step 4: Simplify right side
    584.28x = 425,964.80
  5. Step 5: Solve for x
    x = 425,964.80/584.28
  6. Step 6: Final answer
    x = 729.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.