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Finding the Fourth Proportional to 306.47, 459.70 and 75.36

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Solution

The fourth proportional to 306.47, 459.70 and 75.36 is: 113.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.47 : 459.70 = 75.36 : x
  2. Step 2: Convert to fraction form
    306.47/459.70 = 75.36/x
  3. Step 3: Cross multiply
    306.47x = 459.70 × 75.36
  4. Step 4: Simplify right side
    306.47x = 34,642.99
  5. Step 5: Solve for x
    x = 34,642.99/306.47
  6. Step 6: Final answer
    x = 113.04

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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.