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Finding the Fourth Proportional to 580.68, 801 and 347.76

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Solution

The fourth proportional to 580.68, 801 and 347.76 is: 479.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.68 : 801 = 347.76 : x
  2. Step 2: Convert to fraction form
    580.68/801 = 347.76/x
  3. Step 3: Cross multiply
    580.68x = 801 × 347.76
  4. Step 4: Simplify right side
    580.68x = 278,555.76
  5. Step 5: Solve for x
    x = 278,555.76/580.68
  6. Step 6: Final answer
    x = 479.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.