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Finding the Fourth Proportional to 584.50, 877.02 and 296.14

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Solution

The fourth proportional to 584.50, 877.02 and 296.14 is: 444.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.50 : 877.02 = 296.14 : x
  2. Step 2: Convert to fraction form
    584.50/877.02 = 296.14/x
  3. Step 3: Cross multiply
    584.50x = 877.02 × 296.14
  4. Step 4: Simplify right side
    584.50x = 259,720.70
  5. Step 5: Solve for x
    x = 259,720.70/584.50
  6. Step 6: Final answer
    x = 444.35

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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.