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Finding the Fourth Proportional to 584.97, 877.59 and 311.46

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Solution

The fourth proportional to 584.97, 877.59 and 311.46 is: 467.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.97 : 877.59 = 311.46 : x
  2. Step 2: Convert to fraction form
    584.97/877.59 = 311.46/x
  3. Step 3: Cross multiply
    584.97x = 877.59 × 311.46
  4. Step 4: Simplify right side
    584.97x = 273,334.18
  5. Step 5: Solve for x
    x = 273,334.18/584.97
  6. Step 6: Final answer
    x = 467.26

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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.