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Finding the Fourth Proportional to 565.76, 780.53 and 369.20

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Solution

The fourth proportional to 565.76, 780.53 and 369.20 is: 509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.76 : 780.53 = 369.20 : x
  2. Step 2: Convert to fraction form
    565.76/780.53 = 369.20/x
  3. Step 3: Cross multiply
    565.76x = 780.53 × 369.20
  4. Step 4: Simplify right side
    565.76x = 288,165.93
  5. Step 5: Solve for x
    x = 288,165.93/565.76
  6. Step 6: Final answer
    x = 509.35

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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.