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Finding the Fourth Proportional to 584.70, 877.32 and 296.10

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Solution

The fourth proportional to 584.70, 877.32 and 296.10 is: 444.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.70 : 877.32 = 296.10 : x
  2. Step 2: Convert to fraction form
    584.70/877.32 = 296.10/x
  3. Step 3: Cross multiply
    584.70x = 877.32 × 296.10
  4. Step 4: Simplify right side
    584.70x = 259,774.45
  5. Step 5: Solve for x
    x = 259,774.45/584.70
  6. Step 6: Final answer
    x = 444.29

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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.