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Finding the Fourth Proportional to 565.84, 781.20 and 369.69

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Solution

The fourth proportional to 565.84, 781.20 and 369.69 is: 510.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.84 : 781.20 = 369.69 : x
  2. Step 2: Convert to fraction form
    565.84/781.20 = 369.69/x
  3. Step 3: Cross multiply
    565.84x = 781.20 × 369.69
  4. Step 4: Simplify right side
    565.84x = 288,801.83
  5. Step 5: Solve for x
    x = 288,801.83/565.84
  6. Step 6: Final answer
    x = 510.39

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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.