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Finding the Fourth Proportional to 314.73, 471.29 and 266.13

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Solution

The fourth proportional to 314.73, 471.29 and 266.13 is: 398.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.73 : 471.29 = 266.13 : x
  2. Step 2: Convert to fraction form
    314.73/471.29 = 266.13/x
  3. Step 3: Cross multiply
    314.73x = 471.29 × 266.13
  4. Step 4: Simplify right side
    314.73x = 125,423.08
  5. Step 5: Solve for x
    x = 125,423.08/314.73
  6. Step 6: Final answer
    x = 398.51

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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.