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Finding the Fourth Proportional to 590.74, 886.78 and 316.76

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Solution

The fourth proportional to 590.74, 886.78 and 316.76 is: 475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.74 : 886.78 = 316.76 : x
  2. Step 2: Convert to fraction form
    590.74/886.78 = 316.76/x
  3. Step 3: Cross multiply
    590.74x = 886.78 × 316.76
  4. Step 4: Simplify right side
    590.74x = 280,896.43
  5. Step 5: Solve for x
    x = 280,896.43/590.74
  6. Step 6: Final answer
    x = 475.50

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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.