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Finding the Fourth Proportional to 302.40, 417.33 and 215.46

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Solution

The fourth proportional to 302.40, 417.33 and 215.46 is: 297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.40 : 417.33 = 215.46 : x
  2. Step 2: Convert to fraction form
    302.40/417.33 = 215.46/x
  3. Step 3: Cross multiply
    302.40x = 417.33 × 215.46
  4. Step 4: Simplify right side
    302.40x = 89,917.92
  5. Step 5: Solve for x
    x = 89,917.92/302.40
  6. Step 6: Final answer
    x = 297.35

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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.