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Finding the Fourth Proportional to 466.17, 642.89 and 360.92

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Solution

The fourth proportional to 466.17, 642.89 and 360.92 is: 497.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.17 : 642.89 = 360.92 : x
  2. Step 2: Convert to fraction form
    466.17/642.89 = 360.92/x
  3. Step 3: Cross multiply
    466.17x = 642.89 × 360.92
  4. Step 4: Simplify right side
    466.17x = 232,029.25
  5. Step 5: Solve for x
    x = 232,029.25/466.17
  6. Step 6: Final answer
    x = 497.74

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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.