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Finding the Fourth Proportional to 442.32, 663.81 and 339.87

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Solution

The fourth proportional to 442.32, 663.81 and 339.87 is: 510.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.32 : 663.81 = 339.87 : x
  2. Step 2: Convert to fraction form
    442.32/663.81 = 339.87/x
  3. Step 3: Cross multiply
    442.32x = 663.81 × 339.87
  4. Step 4: Simplify right side
    442.32x = 225,609.10
  5. Step 5: Solve for x
    x = 225,609.10/442.32
  6. Step 6: Final answer
    x = 510.06

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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.