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Finding the Fourth Proportional to 417.47, 576.86 and 324.45

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Solution

The fourth proportional to 417.47, 576.86 and 324.45 is: 448.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.47 : 576.86 = 324.45 : x
  2. Step 2: Convert to fraction form
    417.47/576.86 = 324.45/x
  3. Step 3: Cross multiply
    417.47x = 576.86 × 324.45
  4. Step 4: Simplify right side
    417.47x = 187,160.60
  5. Step 5: Solve for x
    x = 187,160.60/417.47
  6. Step 6: Final answer
    x = 448.33

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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.