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Finding the Fourth Proportional to 306.76, 460.13 and 75.65

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Solution

The fourth proportional to 306.76, 460.13 and 75.65 is: 113.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.76 : 460.13 = 75.65 : x
  2. Step 2: Convert to fraction form
    306.76/460.13 = 75.65/x
  3. Step 3: Cross multiply
    306.76x = 460.13 × 75.65
  4. Step 4: Simplify right side
    306.76x = 34,808.46
  5. Step 5: Solve for x
    x = 34,808.46/306.76
  6. Step 6: Final answer
    x = 113.47

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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.