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Finding the Fourth Proportional to 580.42, 800.96 and 318.45

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Solution

The fourth proportional to 580.42, 800.96 and 318.45 is: 439.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.42 : 800.96 = 318.45 : x
  2. Step 2: Convert to fraction form
    580.42/800.96 = 318.45/x
  3. Step 3: Cross multiply
    580.42x = 800.96 × 318.45
  4. Step 4: Simplify right side
    580.42x = 255,060.11
  5. Step 5: Solve for x
    x = 255,060.11/580.42
  6. Step 6: Final answer
    x = 439.44

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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.