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Finding the Fourth Proportional to 448.97, 618.88 and 411.31

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Solution

The fourth proportional to 448.97, 618.88 and 411.31 is: 566.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.97 : 618.88 = 411.31 : x
  2. Step 2: Convert to fraction form
    448.97/618.88 = 411.31/x
  3. Step 3: Cross multiply
    448.97x = 618.88 × 411.31
  4. Step 4: Simplify right side
    448.97x = 254,547.93
  5. Step 5: Solve for x
    x = 254,547.93/448.97
  6. Step 6: Final answer
    x = 566.96

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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.