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Finding the Fourth Proportional to 565.78, 780.28 and 369.36

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Solution

The fourth proportional to 565.78, 780.28 and 369.36 is: 509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.78 : 780.28 = 369.36 : x
  2. Step 2: Convert to fraction form
    565.78/780.28 = 369.36/x
  3. Step 3: Cross multiply
    565.78x = 780.28 × 369.36
  4. Step 4: Simplify right side
    565.78x = 288,204.22
  5. Step 5: Solve for x
    x = 288,204.22/565.78
  6. Step 6: Final answer
    x = 509.39

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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.