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Finding the Fourth Proportional to 580.96, 867.36 and 499.76

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Solution

The fourth proportional to 580.96, 867.36 and 499.76 is: 746.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.96 : 867.36 = 499.76 : x
  2. Step 2: Convert to fraction form
    580.96/867.36 = 499.76/x
  3. Step 3: Cross multiply
    580.96x = 867.36 × 499.76
  4. Step 4: Simplify right side
    580.96x = 433,471.83
  5. Step 5: Solve for x
    x = 433,471.83/580.96
  6. Step 6: Final answer
    x = 746.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.