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Finding the Fourth Proportional to 566.10, 781.22 and 317.41

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Solution

The fourth proportional to 566.10, 781.22 and 317.41 is: 438.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.10 : 781.22 = 317.41 : x
  2. Step 2: Convert to fraction form
    566.10/781.22 = 317.41/x
  3. Step 3: Cross multiply
    566.10x = 781.22 × 317.41
  4. Step 4: Simplify right side
    566.10x = 247,965.88
  5. Step 5: Solve for x
    x = 247,965.88/566.10
  6. Step 6: Final answer
    x = 438.02

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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.