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Finding the Fourth Proportional to 448.52, 618.78 and 330.77

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Solution

The fourth proportional to 448.52, 618.78 and 330.77 is: 456.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.52 : 618.78 = 330.77 : x
  2. Step 2: Convert to fraction form
    448.52/618.78 = 330.77/x
  3. Step 3: Cross multiply
    448.52x = 618.78 × 330.77
  4. Step 4: Simplify right side
    448.52x = 204,676.65
  5. Step 5: Solve for x
    x = 204,676.65/448.52
  6. Step 6: Final answer
    x = 456.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.