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Finding the Fourth Proportional to 304.13, 453.63 and 295.02

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Solution

The fourth proportional to 304.13, 453.63 and 295.02 is: 440.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.13 : 453.63 = 295.02 : x
  2. Step 2: Convert to fraction form
    304.13/453.63 = 295.02/x
  3. Step 3: Cross multiply
    304.13x = 453.63 × 295.02
  4. Step 4: Simplify right side
    304.13x = 133,829.92
  5. Step 5: Solve for x
    x = 133,829.92/304.13
  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.