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Finding the Fourth Proportional to 584.77, 877.14 and 173.91

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Solution

The fourth proportional to 584.77, 877.14 and 173.91 is: 260.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.77 : 877.14 = 173.91 : x
  2. Step 2: Convert to fraction form
    584.77/877.14 = 173.91/x
  3. Step 3: Cross multiply
    584.77x = 877.14 × 173.91
  4. Step 4: Simplify right side
    584.77x = 152,543.42
  5. Step 5: Solve for x
    x = 152,543.42/584.77
  6. Step 6: Final answer
    x = 260.86

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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.