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Finding the Fourth Proportional to 314.48, 471.02 and 205.94

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Solution

The fourth proportional to 314.48, 471.02 and 205.94 is: 308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.48 : 471.02 = 205.94 : x
  2. Step 2: Convert to fraction form
    314.48/471.02 = 205.94/x
  3. Step 3: Cross multiply
    314.48x = 471.02 × 205.94
  4. Step 4: Simplify right side
    314.48x = 97,001.86
  5. Step 5: Solve for x
    x = 97,001.86/314.48
  6. Step 6: Final answer
    x = 308.45

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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.