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Finding the Fourth Proportional to 580.41, 801 and 318.45

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Solution

The fourth proportional to 580.41, 801 and 318.45 is: 439.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.41 : 801 = 318.45 : x
  2. Step 2: Convert to fraction form
    580.41/801 = 318.45/x
  3. Step 3: Cross multiply
    580.41x = 801 × 318.45
  4. Step 4: Simplify right side
    580.41x = 255,078.45
  5. Step 5: Solve for x
    x = 255,078.45/580.41
  6. Step 6: Final answer
    x = 439.48

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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.