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Finding the Fourth Proportional to 302.08, 417.28 and 287.68

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Solution

The fourth proportional to 302.08, 417.28 and 287.68 is: 397.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.08 : 417.28 = 287.68 : x
  2. Step 2: Convert to fraction form
    302.08/417.28 = 287.68/x
  3. Step 3: Cross multiply
    302.08x = 417.28 × 287.68
  4. Step 4: Simplify right side
    302.08x = 120,043.11
  5. Step 5: Solve for x
    x = 120,043.11/302.08
  6. Step 6: Final answer
    x = 397.39

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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.