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Finding the Fourth Proportional to 360.51, 497.53 and 213.11

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Solution

The fourth proportional to 360.51, 497.53 and 213.11 is: 294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.51 : 497.53 = 213.11 : x
  2. Step 2: Convert to fraction form
    360.51/497.53 = 213.11/x
  3. Step 3: Cross multiply
    360.51x = 497.53 × 213.11
  4. Step 4: Simplify right side
    360.51x = 106,027.55
  5. Step 5: Solve for x
    x = 106,027.55/360.51
  6. Step 6: Final answer
    x = 294.10

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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.