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Finding the Fourth Proportional to 580.24, 800.72 and 318.25

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Solution

The fourth proportional to 580.24, 800.72 and 318.25 is: 439.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.24 : 800.72 = 318.25 : x
  2. Step 2: Convert to fraction form
    580.24/800.72 = 318.25/x
  3. Step 3: Cross multiply
    580.24x = 800.72 × 318.25
  4. Step 4: Simplify right side
    580.24x = 254,827.55
  5. Step 5: Solve for x
    x = 254,827.55/580.24
  6. Step 6: Final answer
    x = 439.18

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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.