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Finding the Fourth Proportional to 303.24, 451.60 and 295.48

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Solution

The fourth proportional to 303.24, 451.60 and 295.48 is: 440.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.24 : 451.60 = 295.48 : x
  2. Step 2: Convert to fraction form
    303.24/451.60 = 295.48/x
  3. Step 3: Cross multiply
    303.24x = 451.60 × 295.48
  4. Step 4: Simplify right side
    303.24x = 133,438.77
  5. Step 5: Solve for x
    x = 133,438.77/303.24
  6. Step 6: Final answer
    x = 440.04

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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.