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Finding the Fourth Proportional to 302.42, 417.30 and 215.48

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Solution

The fourth proportional to 302.42, 417.30 and 215.48 is: 297.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.42 : 417.30 = 215.48 : x
  2. Step 2: Convert to fraction form
    302.42/417.30 = 215.48/x
  3. Step 3: Cross multiply
    302.42x = 417.30 × 215.48
  4. Step 4: Simplify right side
    302.42x = 89,919.80
  5. Step 5: Solve for x
    x = 89,919.80/302.42
  6. Step 6: Final answer
    x = 297.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.