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Finding the Fourth Proportional to 307, 457.79 and 284.68

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Solution

The fourth proportional to 307, 457.79 and 284.68 is: 424.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    307 : 457.79 = 284.68 : x
  2. Step 2: Convert to fraction form
    307/457.79 = 284.68/x
  3. Step 3: Cross multiply
    307x = 457.79 × 284.68
  4. Step 4: Simplify right side
    307x = 130,323.66
  5. Step 5: Solve for x
    x = 130,323.66/307
  6. Step 6: Final answer
    x = 424.51

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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.