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Finding the Fourth Proportional to 302.31, 450.49 and 285.75

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Solution

The fourth proportional to 302.31, 450.49 and 285.75 is: 425.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.31 : 450.49 = 285.75 : x
  2. Step 2: Convert to fraction form
    302.31/450.49 = 285.75/x
  3. Step 3: Cross multiply
    302.31x = 450.49 × 285.75
  4. Step 4: Simplify right side
    302.31x = 128,726.80
  5. Step 5: Solve for x
    x = 128,726.80/302.31
  6. Step 6: Final answer
    x = 425.81

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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.