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Finding the Fourth Proportional to 565.79, 780.82 and 326.59

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Solution

The fourth proportional to 565.79, 780.82 and 326.59 is: 450.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.79 : 780.82 = 326.59 : x
  2. Step 2: Convert to fraction form
    565.79/780.82 = 326.59/x
  3. Step 3: Cross multiply
    565.79x = 780.82 × 326.59
  4. Step 4: Simplify right side
    565.79x = 255,008.00
  5. Step 5: Solve for x
    x = 255,008.00/565.79
  6. Step 6: Final answer
    x = 450.71

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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.