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Finding the Fourth Proportional to 580.97, 801.71 and 318.94

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Solution

The fourth proportional to 580.97, 801.71 and 318.94 is: 440.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.97 : 801.71 = 318.94 : x
  2. Step 2: Convert to fraction form
    580.97/801.71 = 318.94/x
  3. Step 3: Cross multiply
    580.97x = 801.71 × 318.94
  4. Step 4: Simplify right side
    580.97x = 255,697.39
  5. Step 5: Solve for x
    x = 255,697.39/580.97
  6. Step 6: Final answer
    x = 440.12

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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.