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Finding the Fourth Proportional to 407.87, 611.01 and 253.85

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Solution

The fourth proportional to 407.87, 611.01 and 253.85 is: 380.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.87 : 611.01 = 253.85 : x
  2. Step 2: Convert to fraction form
    407.87/611.01 = 253.85/x
  3. Step 3: Cross multiply
    407.87x = 611.01 × 253.85
  4. Step 4: Simplify right side
    407.87x = 155,106.42
  5. Step 5: Solve for x
    x = 155,106.42/407.87
  6. Step 6: Final answer
    x = 380.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.