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Finding the Fourth Proportional to 474.12, 709.71 and 288.51

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Solution

The fourth proportional to 474.12, 709.71 and 288.51 is: 431.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.12 : 709.71 = 288.51 : x
  2. Step 2: Convert to fraction form
    474.12/709.71 = 288.51/x
  3. Step 3: Cross multiply
    474.12x = 709.71 × 288.51
  4. Step 4: Simplify right side
    474.12x = 204,758.43
  5. Step 5: Solve for x
    x = 204,758.43/474.12
  6. Step 6: Final answer
    x = 431.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.