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Finding the Fourth Proportional to 407.26, 609.45 and 253.06

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Solution

The fourth proportional to 407.26, 609.45 and 253.06 is: 378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.26 : 609.45 = 253.06 : x
  2. Step 2: Convert to fraction form
    407.26/609.45 = 253.06/x
  3. Step 3: Cross multiply
    407.26x = 609.45 × 253.06
  4. Step 4: Simplify right side
    407.26x = 154,227.42
  5. Step 5: Solve for x
    x = 154,227.42/407.26
  6. Step 6: Final answer
    x = 378.70

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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.