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Finding the Fourth Proportional to 566.33, 781.28 and 345.26

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Solution

The fourth proportional to 566.33, 781.28 and 345.26 is: 476.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.33 : 781.28 = 345.26 : x
  2. Step 2: Convert to fraction form
    566.33/781.28 = 345.26/x
  3. Step 3: Cross multiply
    566.33x = 781.28 × 345.26
  4. Step 4: Simplify right side
    566.33x = 269,739.10
  5. Step 5: Solve for x
    x = 269,739.10/566.33
  6. Step 6: Final answer
    x = 476.30

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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.