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Finding the Fourth Proportional to 566.25, 781.42 and 317.61

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Solution

The fourth proportional to 566.25, 781.42 and 317.61 is: 438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.25 : 781.42 = 317.61 : x
  2. Step 2: Convert to fraction form
    566.25/781.42 = 317.61/x
  3. Step 3: Cross multiply
    566.25x = 781.42 × 317.61
  4. Step 4: Simplify right side
    566.25x = 248,186.81
  5. Step 5: Solve for x
    x = 248,186.81/566.25
  6. Step 6: Final answer
    x = 438.30

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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.