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Finding the Fourth Proportional to 302.48, 451.01 and 297.02

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Solution

The fourth proportional to 302.48, 451.01 and 297.02 is: 442.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.48 : 451.01 = 297.02 : x
  2. Step 2: Convert to fraction form
    302.48/451.01 = 297.02/x
  3. Step 3: Cross multiply
    302.48x = 451.01 × 297.02
  4. Step 4: Simplify right side
    302.48x = 133,958.99
  5. Step 5: Solve for x
    x = 133,958.99/302.48
  6. Step 6: Final answer
    x = 442.87

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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.