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Finding the Fourth Proportional to 500.64, 691.23 and 314.20

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Solution

The fourth proportional to 500.64, 691.23 and 314.20 is: 433.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.64 : 691.23 = 314.20 : x
  2. Step 2: Convert to fraction form
    500.64/691.23 = 314.20/x
  3. Step 3: Cross multiply
    500.64x = 691.23 × 314.20
  4. Step 4: Simplify right side
    500.64x = 217,184.47
  5. Step 5: Solve for x
    x = 217,184.47/500.64
  6. Step 6: Final answer
    x = 433.81

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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.