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Finding the Fourth Proportional to 565.68, 780.40 and 369.12

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Solution

The fourth proportional to 565.68, 780.40 and 369.12 is: 509.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.68 : 780.40 = 369.12 : x
  2. Step 2: Convert to fraction form
    565.68/780.40 = 369.12/x
  3. Step 3: Cross multiply
    565.68x = 780.40 × 369.12
  4. Step 4: Simplify right side
    565.68x = 288,061.25
  5. Step 5: Solve for x
    x = 288,061.25/565.68
  6. Step 6: Final answer
    x = 509.23

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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.