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Finding the Fourth Proportional to 332.01, 456.41 and 296.69

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Solution

The fourth proportional to 332.01, 456.41 and 296.69 is: 407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.01 : 456.41 = 296.69 : x
  2. Step 2: Convert to fraction form
    332.01/456.41 = 296.69/x
  3. Step 3: Cross multiply
    332.01x = 456.41 × 296.69
  4. Step 4: Simplify right side
    332.01x = 135,410.74
  5. Step 5: Solve for x
    x = 135,410.74/332.01
  6. Step 6: Final answer
    x = 407.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.