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Finding the Fourth Proportional to 500.34, 690.90 and 314.15

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Solution

The fourth proportional to 500.34, 690.90 and 314.15 is: 433.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.34 : 690.90 = 314.15 : x
  2. Step 2: Convert to fraction form
    500.34/690.90 = 314.15/x
  3. Step 3: Cross multiply
    500.34x = 690.90 × 314.15
  4. Step 4: Simplify right side
    500.34x = 217,046.24
  5. Step 5: Solve for x
    x = 217,046.24/500.34
  6. Step 6: Final answer
    x = 433.80

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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.