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Finding the Fourth Proportional to 587.83, 881.46 and 176.85

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Solution

The fourth proportional to 587.83, 881.46 and 176.85 is: 265.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.83 : 881.46 = 176.85 : x
  2. Step 2: Convert to fraction form
    587.83/881.46 = 176.85/x
  3. Step 3: Cross multiply
    587.83x = 881.46 × 176.85
  4. Step 4: Simplify right side
    587.83x = 155,886.20
  5. Step 5: Solve for x
    x = 155,886.20/587.83
  6. Step 6: Final answer
    x = 265.19

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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.