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Finding the Fourth Proportional to 302.64, 417.49 and 209.67

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Solution

The fourth proportional to 302.64, 417.49 and 209.67 is: 289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.64 : 417.49 = 209.67 : x
  2. Step 2: Convert to fraction form
    302.64/417.49 = 209.67/x
  3. Step 3: Cross multiply
    302.64x = 417.49 × 209.67
  4. Step 4: Simplify right side
    302.64x = 87,535.13
  5. Step 5: Solve for x
    x = 87,535.13/302.64
  6. Step 6: Final answer
    x = 289.24

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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.