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Finding the Fourth Proportional to 500.87, 691.23 and 304.40

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Solution

The fourth proportional to 500.87, 691.23 and 304.40 is: 420.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.87 : 691.23 = 304.40 : x
  2. Step 2: Convert to fraction form
    500.87/691.23 = 304.40/x
  3. Step 3: Cross multiply
    500.87x = 691.23 × 304.40
  4. Step 4: Simplify right side
    500.87x = 210,406.96
  5. Step 5: Solve for x
    x = 210,406.96/500.87
  6. Step 6: Final answer
    x = 420.09

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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.