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Finding the Fourth Proportional to 584.69, 877.12 and 173.86

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Solution

The fourth proportional to 584.69, 877.12 and 173.86 is: 260.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.69 : 877.12 = 173.86 : x
  2. Step 2: Convert to fraction form
    584.69/877.12 = 173.86/x
  3. Step 3: Cross multiply
    584.69x = 877.12 × 173.86
  4. Step 4: Simplify right side
    584.69x = 152,496.08
  5. Step 5: Solve for x
    x = 152,496.08/584.69
  6. Step 6: Final answer
    x = 260.82

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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.