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Finding the Fourth Proportional to 566.27, 781.34 and 380.00

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Solution

The fourth proportional to 566.27, 781.34 and 380.00 is: 524.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.27 : 781.34 = 380.00 : x
  2. Step 2: Convert to fraction form
    566.27/781.34 = 380.00/x
  3. Step 3: Cross multiply
    566.27x = 781.34 × 380.00
  4. Step 4: Simplify right side
    566.27x = 296,907.75
  5. Step 5: Solve for x
    x = 296,907.75/566.27
  6. Step 6: Final answer
    x = 524.32

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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.