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Finding the Fourth Proportional to 402.42, 603.82 and 210.04

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Solution

The fourth proportional to 402.42, 603.82 and 210.04 is: 315.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.42 : 603.82 = 210.04 : x
  2. Step 2: Convert to fraction form
    402.42/603.82 = 210.04/x
  3. Step 3: Cross multiply
    402.42x = 603.82 × 210.04
  4. Step 4: Simplify right side
    402.42x = 126,826.35
  5. Step 5: Solve for x
    x = 126,826.35/402.42
  6. Step 6: Final answer
    x = 315.16

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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.