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Finding the Fourth Proportional to 587.67, 881.64 and 313.70

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Solution

The fourth proportional to 587.67, 881.64 and 313.70 is: 470.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.67 : 881.64 = 313.70 : x
  2. Step 2: Convert to fraction form
    587.67/881.64 = 313.70/x
  3. Step 3: Cross multiply
    587.67x = 881.64 × 313.70
  4. Step 4: Simplify right side
    587.67x = 276,566.06
  5. Step 5: Solve for x
    x = 276,566.06/587.67
  6. Step 6: Final answer
    x = 470.61

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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.