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Finding the Fourth Proportional to 638.46, 958.58 and 442.99

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Solution

The fourth proportional to 638.46, 958.58 and 442.99 is: 665.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.46 : 958.58 = 442.99 : x
  2. Step 2: Convert to fraction form
    638.46/958.58 = 442.99/x
  3. Step 3: Cross multiply
    638.46x = 958.58 × 442.99
  4. Step 4: Simplify right side
    638.46x = 424,641.35
  5. Step 5: Solve for x
    x = 424,641.35/638.46
  6. Step 6: Final answer
    x = 665.10

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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.