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Finding the Fourth Proportional to 448.46, 618.96 and 434.78

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Solution

The fourth proportional to 448.46, 618.96 and 434.78 is: 600.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.46 : 618.96 = 434.78 : x
  2. Step 2: Convert to fraction form
    448.46/618.96 = 434.78/x
  3. Step 3: Cross multiply
    448.46x = 618.96 × 434.78
  4. Step 4: Simplify right side
    448.46x = 269,111.43
  5. Step 5: Solve for x
    x = 269,111.43/448.46
  6. Step 6: Final answer
    x = 600.08

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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.