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Finding the Fourth Proportional to 302.47, 454.41 and 297.20

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Solution

The fourth proportional to 302.47, 454.41 and 297.20 is: 446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.47 : 454.41 = 297.20 : x
  2. Step 2: Convert to fraction form
    302.47/454.41 = 297.20/x
  3. Step 3: Cross multiply
    302.47x = 454.41 × 297.20
  4. Step 4: Simplify right side
    302.47x = 135,051.79
  5. Step 5: Solve for x
    x = 135,051.79/302.47
  6. Step 6: Final answer
    x = 446.50

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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.