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Finding the Fourth Proportional to 580.92, 869.96 and 407.76

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Solution

The fourth proportional to 580.92, 869.96 and 407.76 is: 610.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.92 : 869.96 = 407.76 : x
  2. Step 2: Convert to fraction form
    580.92/869.96 = 407.76/x
  3. Step 3: Cross multiply
    580.92x = 869.96 × 407.76
  4. Step 4: Simplify right side
    580.92x = 354,734.89
  5. Step 5: Solve for x
    x = 354,734.89/580.92
  6. Step 6: Final answer
    x = 610.64

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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.