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Finding the Fourth Proportional to 580.10, 869.04 and 502.25

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Solution

The fourth proportional to 580.10, 869.04 and 502.25 is: 752.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.10 : 869.04 = 502.25 : x
  2. Step 2: Convert to fraction form
    580.10/869.04 = 502.25/x
  3. Step 3: Cross multiply
    580.10x = 869.04 × 502.25
  4. Step 4: Simplify right side
    580.10x = 436,475.34
  5. Step 5: Solve for x
    x = 436,475.34/580.10
  6. Step 6: Final answer
    x = 752.41

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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.