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Finding the Fourth Proportional to 306.95, 460.05 and 209.45

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Solution

The fourth proportional to 306.95, 460.05 and 209.45 is: 313.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.95 : 460.05 = 209.45 : x
  2. Step 2: Convert to fraction form
    306.95/460.05 = 209.45/x
  3. Step 3: Cross multiply
    306.95x = 460.05 × 209.45
  4. Step 4: Simplify right side
    306.95x = 96,357.47
  5. Step 5: Solve for x
    x = 96,357.47/306.95
  6. Step 6: Final answer
    x = 313.92

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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.