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Finding the Fourth Proportional to 566.38, 781.61 and 317.70

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Solution

The fourth proportional to 566.38, 781.61 and 317.70 is: 438.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.38 : 781.61 = 317.70 : x
  2. Step 2: Convert to fraction form
    566.38/781.61 = 317.70/x
  3. Step 3: Cross multiply
    566.38x = 781.61 × 317.70
  4. Step 4: Simplify right side
    566.38x = 248,317.50
  5. Step 5: Solve for x
    x = 248,317.50/566.38
  6. Step 6: Final answer
    x = 438.43

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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.