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Finding the Fourth Proportional to 566.36, 781.56 and 345.16

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Solution

The fourth proportional to 566.36, 781.56 and 345.16 is: 476.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.36 : 781.56 = 345.16 : x
  2. Step 2: Convert to fraction form
    566.36/781.56 = 345.16/x
  3. Step 3: Cross multiply
    566.36x = 781.56 × 345.16
  4. Step 4: Simplify right side
    566.36x = 269,763.25
  5. Step 5: Solve for x
    x = 269,763.25/566.36
  6. Step 6: Final answer
    x = 476.31

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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.