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Finding the Fourth Proportional to 565.65, 780.98 and 369.09

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Solution

The fourth proportional to 565.65, 780.98 and 369.09 is: 509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.65 : 780.98 = 369.09 : x
  2. Step 2: Convert to fraction form
    565.65/780.98 = 369.09/x
  3. Step 3: Cross multiply
    565.65x = 780.98 × 369.09
  4. Step 4: Simplify right side
    565.65x = 288,250.06
  5. Step 5: Solve for x
    x = 288,250.06/565.65
  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.