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Finding the Fourth Proportional to 474.84, 711 and 301.14

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Solution

The fourth proportional to 474.84, 711 and 301.14 is: 450.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.84 : 711 = 301.14 : x
  2. Step 2: Convert to fraction form
    474.84/711 = 301.14/x
  3. Step 3: Cross multiply
    474.84x = 711 × 301.14
  4. Step 4: Simplify right side
    474.84x = 214,110.54
  5. Step 5: Solve for x
    x = 214,110.54/474.84
  6. Step 6: Final answer
    x = 450.91

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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.