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Finding the Fourth Proportional to 565.47, 780.83 and 379.23

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Solution

The fourth proportional to 565.47, 780.83 and 379.23 is: 523.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.47 : 780.83 = 379.23 : x
  2. Step 2: Convert to fraction form
    565.47/780.83 = 379.23/x
  3. Step 3: Cross multiply
    565.47x = 780.83 × 379.23
  4. Step 4: Simplify right side
    565.47x = 296,112.26
  5. Step 5: Solve for x
    x = 296,112.26/565.47
  6. Step 6: Final answer
    x = 523.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.