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Finding the Fourth Proportional to 645.34, 968.48 and 337.14

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Solution

The fourth proportional to 645.34, 968.48 and 337.14 is: 505.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.34 : 968.48 = 337.14 : x
  2. Step 2: Convert to fraction form
    645.34/968.48 = 337.14/x
  3. Step 3: Cross multiply
    645.34x = 968.48 × 337.14
  4. Step 4: Simplify right side
    645.34x = 326,511.15
  5. Step 5: Solve for x
    x = 326,511.15/645.34
  6. Step 6: Final answer
    x = 505.95

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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.