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Finding the Fourth Proportional to 565.21, 780.52 and 369.19

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Solution

The fourth proportional to 565.21, 780.52 and 369.19 is: 509.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.21 : 780.52 = 369.19 : x
  2. Step 2: Convert to fraction form
    565.21/780.52 = 369.19/x
  3. Step 3: Cross multiply
    565.21x = 780.52 × 369.19
  4. Step 4: Simplify right side
    565.21x = 288,156.28
  5. Step 5: Solve for x
    x = 288,156.28/565.21
  6. Step 6: Final answer
    x = 509.83

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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.