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Finding the Fourth Proportional to 587.76, 881.82 and 313.80

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Solution

The fourth proportional to 587.76, 881.82 and 313.80 is: 470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.76 : 881.82 = 313.80 : x
  2. Step 2: Convert to fraction form
    587.76/881.82 = 313.80/x
  3. Step 3: Cross multiply
    587.76x = 881.82 × 313.80
  4. Step 4: Simplify right side
    587.76x = 276,715.12
  5. Step 5: Solve for x
    x = 276,715.12/587.76
  6. Step 6: Final answer
    x = 470.80

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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.