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Finding the Fourth Proportional to 584.92, 877.50 and 174.08

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Solution

The fourth proportional to 584.92, 877.50 and 174.08 is: 261.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.92 : 877.50 = 174.08 : x
  2. Step 2: Convert to fraction form
    584.92/877.50 = 174.08/x
  3. Step 3: Cross multiply
    584.92x = 877.50 × 174.08
  4. Step 4: Simplify right side
    584.92x = 152,757.39
  5. Step 5: Solve for x
    x = 152,757.39/584.92
  6. Step 6: Final answer
    x = 261.16

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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.