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Finding the Fourth Proportional to 565.76, 780.72 and 369.28

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Solution

The fourth proportional to 565.76, 780.72 and 369.28 is: 509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.76 : 780.72 = 369.28 : x
  2. Step 2: Convert to fraction form
    565.76/780.72 = 369.28/x
  3. Step 3: Cross multiply
    565.76x = 780.72 × 369.28
  4. Step 4: Simplify right side
    565.76x = 288,304.28
  5. Step 5: Solve for x
    x = 288,304.28/565.76
  6. Step 6: Final answer
    x = 509.59

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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.