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Finding the Fourth Proportional to 565.96, 781.06 and 333

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Solution

The fourth proportional to 565.96, 781.06 and 333 is: 459.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.96 : 781.06 = 333 : x
  2. Step 2: Convert to fraction form
    565.96/781.06 = 333/x
  3. Step 3: Cross multiply
    565.96x = 781.06 × 333
  4. Step 4: Simplify right side
    565.96x = 260,092.98
  5. Step 5: Solve for x
    x = 260,092.98/565.96
  6. Step 6: Final answer
    x = 459.56

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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.