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Finding the Fourth Proportional to 565.93, 780.27 and 369.10

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Solution

The fourth proportional to 565.93, 780.27 and 369.10 is: 508.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.93 : 780.27 = 369.10 : x
  2. Step 2: Convert to fraction form
    565.93/780.27 = 369.10/x
  3. Step 3: Cross multiply
    565.93x = 780.27 × 369.10
  4. Step 4: Simplify right side
    565.93x = 287,997.66
  5. Step 5: Solve for x
    x = 287,997.66/565.93
  6. Step 6: Final answer
    x = 508.89

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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.