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Finding the Fourth Proportional to 302.47, 454.05 and 301.15

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Solution

The fourth proportional to 302.47, 454.05 and 301.15 is: 452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.47 : 454.05 = 301.15 : x
  2. Step 2: Convert to fraction form
    302.47/454.05 = 301.15/x
  3. Step 3: Cross multiply
    302.47x = 454.05 × 301.15
  4. Step 4: Simplify right side
    302.47x = 136,737.16
  5. Step 5: Solve for x
    x = 136,737.16/302.47
  6. Step 6: Final answer
    x = 452.07

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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.