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Finding the Fourth Proportional to 645.59, 967.72 and 337.79

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Solution

The fourth proportional to 645.59, 967.72 and 337.79 is: 506.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.59 : 967.72 = 337.79 : x
  2. Step 2: Convert to fraction form
    645.59/967.72 = 337.79/x
  3. Step 3: Cross multiply
    645.59x = 967.72 × 337.79
  4. Step 4: Simplify right side
    645.59x = 326,881.30
  5. Step 5: Solve for x
    x = 326,881.30/645.59
  6. Step 6: Final answer
    x = 506.33

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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.