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Finding the Fourth Proportional to 588.04, 881.80 and 177.04

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Solution

The fourth proportional to 588.04, 881.80 and 177.04 is: 265.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.04 : 881.80 = 177.04 : x
  2. Step 2: Convert to fraction form
    588.04/881.80 = 177.04/x
  3. Step 3: Cross multiply
    588.04x = 881.80 × 177.04
  4. Step 4: Simplify right side
    588.04x = 156,113.87
  5. Step 5: Solve for x
    x = 156,113.87/588.04
  6. Step 6: Final answer
    x = 265.48

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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.