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Finding the Fourth Proportional to 587.76, 881.62 and 197.81

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Solution

The fourth proportional to 587.76, 881.62 and 197.81 is: 296.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.76 : 881.62 = 197.81 : x
  2. Step 2: Convert to fraction form
    587.76/881.62 = 197.81/x
  3. Step 3: Cross multiply
    587.76x = 881.62 × 197.81
  4. Step 4: Simplify right side
    587.76x = 174,388.35
  5. Step 5: Solve for x
    x = 174,388.35/587.76
  6. Step 6: Final answer
    x = 296.70

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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.