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Finding the Fourth Proportional to 566.02, 781.36 and 345.06

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Solution

The fourth proportional to 566.02, 781.36 and 345.06 is: 476.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.02 : 781.36 = 345.06 : x
  2. Step 2: Convert to fraction form
    566.02/781.36 = 345.06/x
  3. Step 3: Cross multiply
    566.02x = 781.36 × 345.06
  4. Step 4: Simplify right side
    566.02x = 269,617.16
  5. Step 5: Solve for x
    x = 269,617.16/566.02
  6. Step 6: Final answer
    x = 476.34

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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.