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Finding the Fourth Proportional to 500.84, 691.43 and 314.56

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Solution

The fourth proportional to 500.84, 691.43 and 314.56 is: 434.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.84 : 691.43 = 314.56 : x
  2. Step 2: Convert to fraction form
    500.84/691.43 = 314.56/x
  3. Step 3: Cross multiply
    500.84x = 691.43 × 314.56
  4. Step 4: Simplify right side
    500.84x = 217,496.22
  5. Step 5: Solve for x
    x = 217,496.22/500.84
  6. Step 6: Final answer
    x = 434.26

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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.