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Finding the Fourth Proportional to 302.64, 417.52 and 209.76

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Solution

The fourth proportional to 302.64, 417.52 and 209.76 is: 289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.64 : 417.52 = 209.76 : x
  2. Step 2: Convert to fraction form
    302.64/417.52 = 209.76/x
  3. Step 3: Cross multiply
    302.64x = 417.52 × 209.76
  4. Step 4: Simplify right side
    302.64x = 87,579.00
  5. Step 5: Solve for x
    x = 87,579.00/302.64
  6. Step 6: Final answer
    x = 289.38

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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.