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Finding the Fourth Proportional to 645.42, 968.63 and 337.35

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Solution

The fourth proportional to 645.42, 968.63 and 337.35 is: 506.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.42 : 968.63 = 337.35 : x
  2. Step 2: Convert to fraction form
    645.42/968.63 = 337.35/x
  3. Step 3: Cross multiply
    645.42x = 968.63 × 337.35
  4. Step 4: Simplify right side
    645.42x = 326,765.64
  5. Step 5: Solve for x
    x = 326,765.64/645.42
  6. Step 6: Final answer
    x = 506.28

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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.