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Finding the Fourth Proportional to 565.92, 781.02 and 333

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Solution

The fourth proportional to 565.92, 781.02 and 333 is: 459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.92 : 781.02 = 333 : x
  2. Step 2: Convert to fraction form
    565.92/781.02 = 333/x
  3. Step 3: Cross multiply
    565.92x = 781.02 × 333
  4. Step 4: Simplify right side
    565.92x = 260,079.66
  5. Step 5: Solve for x
    x = 260,079.66/565.92
  6. Step 6: Final answer
    x = 459.57

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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.