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Finding the Fourth Proportional to 360.58, 497.54 and 213.24

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Solution

The fourth proportional to 360.58, 497.54 and 213.24 is: 294.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.58 : 497.54 = 213.24 : x
  2. Step 2: Convert to fraction form
    360.58/497.54 = 213.24/x
  3. Step 3: Cross multiply
    360.58x = 497.54 × 213.24
  4. Step 4: Simplify right side
    360.58x = 106,095.43
  5. Step 5: Solve for x
    x = 106,095.43/360.58
  6. Step 6: Final answer
    x = 294.24

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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.