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Finding the Fourth Proportional to 566.30, 781.52 and 345.21

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Solution

The fourth proportional to 566.30, 781.52 and 345.21 is: 476.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.30 : 781.52 = 345.21 : x
  2. Step 2: Convert to fraction form
    566.30/781.52 = 345.21/x
  3. Step 3: Cross multiply
    566.30x = 781.52 × 345.21
  4. Step 4: Simplify right side
    566.30x = 269,786.79
  5. Step 5: Solve for x
    x = 269,786.79/566.30
  6. Step 6: Final answer
    x = 476.41

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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.