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Finding the Fourth Proportional to 314.72, 470.02 and 211.04

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Solution

The fourth proportional to 314.72, 470.02 and 211.04 is: 315.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.72 : 470.02 = 211.04 : x
  2. Step 2: Convert to fraction form
    314.72/470.02 = 211.04/x
  3. Step 3: Cross multiply
    314.72x = 470.02 × 211.04
  4. Step 4: Simplify right side
    314.72x = 99,193.02
  5. Step 5: Solve for x
    x = 99,193.02/314.72
  6. Step 6: Final answer
    x = 315.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.