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Finding the Fourth Proportional to 442.72, 610.40 and 318.24

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Solution

The fourth proportional to 442.72, 610.40 and 318.24 is: 438.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.72 : 610.40 = 318.24 : x
  2. Step 2: Convert to fraction form
    442.72/610.40 = 318.24/x
  3. Step 3: Cross multiply
    442.72x = 610.40 × 318.24
  4. Step 4: Simplify right side
    442.72x = 194,253.70
  5. Step 5: Solve for x
    x = 194,253.70/442.72
  6. Step 6: Final answer
    x = 438.77

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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.