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Finding the Fourth Proportional to 306.78, 457.10 and 289.74

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Solution

The fourth proportional to 306.78, 457.10 and 289.74 is: 431.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.78 : 457.10 = 289.74 : x
  2. Step 2: Convert to fraction form
    306.78/457.10 = 289.74/x
  3. Step 3: Cross multiply
    306.78x = 457.10 × 289.74
  4. Step 4: Simplify right side
    306.78x = 132,438.71
  5. Step 5: Solve for x
    x = 132,438.71/306.78
  6. Step 6: Final answer
    x = 431.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.