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Finding the Fourth Proportional to 318.42, 478.04 and 210.42

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Solution

The fourth proportional to 318.42, 478.04 and 210.42 is: 315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.42 : 478.04 = 210.42 : x
  2. Step 2: Convert to fraction form
    318.42/478.04 = 210.42/x
  3. Step 3: Cross multiply
    318.42x = 478.04 × 210.42
  4. Step 4: Simplify right side
    318.42x = 100,588.12
  5. Step 5: Solve for x
    x = 100,588.12/318.42
  6. Step 6: Final answer
    x = 315.90

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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.