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Finding the Fourth Proportional to 318.11, 474.54 and 296.01

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Solution

The fourth proportional to 318.11, 474.54 and 296.01 is: 441.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.11 : 474.54 = 296.01 : x
  2. Step 2: Convert to fraction form
    318.11/474.54 = 296.01/x
  3. Step 3: Cross multiply
    318.11x = 474.54 × 296.01
  4. Step 4: Simplify right side
    318.11x = 140,468.59
  5. Step 5: Solve for x
    x = 140,468.59/318.11
  6. Step 6: Final answer
    x = 441.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.