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Finding the Fourth Proportional to 500.51, 691.14 and 314.32

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Solution

The fourth proportional to 500.51, 691.14 and 314.32 is: 434.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.51 : 691.14 = 314.32 : x
  2. Step 2: Convert to fraction form
    500.51/691.14 = 314.32/x
  3. Step 3: Cross multiply
    500.51x = 691.14 × 314.32
  4. Step 4: Simplify right side
    500.51x = 217,234.10
  5. Step 5: Solve for x
    x = 217,234.10/500.51
  6. Step 6: Final answer
    x = 434.03

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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.