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Finding the Fourth Proportional to 565.89, 781.24 and 380.36

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Solution

The fourth proportional to 565.89, 781.24 and 380.36 is: 525.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.89 : 781.24 = 380.36 : x
  2. Step 2: Convert to fraction form
    565.89/781.24 = 380.36/x
  3. Step 3: Cross multiply
    565.89x = 781.24 × 380.36
  4. Step 4: Simplify right side
    565.89x = 297,152.45
  5. Step 5: Solve for x
    x = 297,152.45/565.89
  6. Step 6: Final answer
    x = 525.11

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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.