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Finding the Fourth Proportional to 500.70, 690.86 and 314.26

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Solution

The fourth proportional to 500.70, 690.86 and 314.26 is: 433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.70 : 690.86 = 314.26 : x
  2. Step 2: Convert to fraction form
    500.70/690.86 = 314.26/x
  3. Step 3: Cross multiply
    500.70x = 690.86 × 314.26
  4. Step 4: Simplify right side
    500.70x = 217,109.66
  5. Step 5: Solve for x
    x = 217,109.66/500.70
  6. Step 6: Final answer
    x = 433.61

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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.