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Finding the Fourth Proportional to 565.99, 780.71 and 369.77

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Solution

The fourth proportional to 565.99, 780.71 and 369.77 is: 510.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.99 : 780.71 = 369.77 : x
  2. Step 2: Convert to fraction form
    565.99/780.71 = 369.77/x
  3. Step 3: Cross multiply
    565.99x = 780.71 × 369.77
  4. Step 4: Simplify right side
    565.99x = 288,677.38
  5. Step 5: Solve for x
    x = 288,677.38/565.99
  6. Step 6: Final answer
    x = 510.04

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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.