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Finding the Fourth Proportional to 587.60, 881.54 and 176.86

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Solution

The fourth proportional to 587.60, 881.54 and 176.86 is: 265.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.60 : 881.54 = 176.86 : x
  2. Step 2: Convert to fraction form
    587.60/881.54 = 176.86/x
  3. Step 3: Cross multiply
    587.60x = 881.54 × 176.86
  4. Step 4: Simplify right side
    587.60x = 155,909.16
  5. Step 5: Solve for x
    x = 155,909.16/587.60
  6. Step 6: Final answer
    x = 265.33

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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.