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Finding the Fourth Proportional to 424.54, 584.82 and 362.17

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Solution

The fourth proportional to 424.54, 584.82 and 362.17 is: 498.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.54 : 584.82 = 362.17 : x
  2. Step 2: Convert to fraction form
    424.54/584.82 = 362.17/x
  3. Step 3: Cross multiply
    424.54x = 584.82 × 362.17
  4. Step 4: Simplify right side
    424.54x = 211,804.26
  5. Step 5: Solve for x
    x = 211,804.26/424.54
  6. Step 6: Final answer
    x = 498.90

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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.