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Finding the Fourth Proportional to 360.74, 497.72 and 211.34

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Solution

The fourth proportional to 360.74, 497.72 and 211.34 is: 291.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.74 : 497.72 = 211.34 : x
  2. Step 2: Convert to fraction form
    360.74/497.72 = 211.34/x
  3. Step 3: Cross multiply
    360.74x = 497.72 × 211.34
  4. Step 4: Simplify right side
    360.74x = 105,186.18
  5. Step 5: Solve for x
    x = 105,186.18/360.74
  6. Step 6: Final answer
    x = 291.59

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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.