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Finding the Fourth Proportional to 500.70, 691.08 and 304.17

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Solution

The fourth proportional to 500.70, 691.08 and 304.17 is: 419.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.70 : 691.08 = 304.17 : x
  2. Step 2: Convert to fraction form
    500.70/691.08 = 304.17/x
  3. Step 3: Cross multiply
    500.70x = 691.08 × 304.17
  4. Step 4: Simplify right side
    500.70x = 210,207.67
  5. Step 5: Solve for x
    x = 210,207.67/500.70
  6. Step 6: Final answer
    x = 419.83

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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.