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Finding the Fourth Proportional to 584.89, 876.93 and 296.17

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Solution

The fourth proportional to 584.89, 876.93 and 296.17 is: 444.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.89 : 876.93 = 296.17 : x
  2. Step 2: Convert to fraction form
    584.89/876.93 = 296.17/x
  3. Step 3: Cross multiply
    584.89x = 876.93 × 296.17
  4. Step 4: Simplify right side
    584.89x = 259,720.36
  5. Step 5: Solve for x
    x = 259,720.36/584.89
  6. Step 6: Final answer
    x = 444.05

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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.