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Finding the Fourth Proportional to 302.43, 454.59 and 294.69

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Solution

The fourth proportional to 302.43, 454.59 and 294.69 is: 442.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.43 : 454.59 = 294.69 : x
  2. Step 2: Convert to fraction form
    302.43/454.59 = 294.69/x
  3. Step 3: Cross multiply
    302.43x = 454.59 × 294.69
  4. Step 4: Simplify right side
    302.43x = 133,963.13
  5. Step 5: Solve for x
    x = 133,963.13/302.43
  6. Step 6: Final answer
    x = 442.96

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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.