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Finding the Fourth Proportional to 566.57, 781.90 and 317.88

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Solution

The fourth proportional to 566.57, 781.90 and 317.88 is: 438.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.57 : 781.90 = 317.88 : x
  2. Step 2: Convert to fraction form
    566.57/781.90 = 317.88/x
  3. Step 3: Cross multiply
    566.57x = 781.90 × 317.88
  4. Step 4: Simplify right side
    566.57x = 248,550.37
  5. Step 5: Solve for x
    x = 248,550.37/566.57
  6. Step 6: Final answer
    x = 438.69

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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.