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Finding the Fourth Proportional to 360.54, 497.34 and 236.16

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Solution

The fourth proportional to 360.54, 497.34 and 236.16 is: 325.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.54 : 497.34 = 236.16 : x
  2. Step 2: Convert to fraction form
    360.54/497.34 = 236.16/x
  3. Step 3: Cross multiply
    360.54x = 497.34 × 236.16
  4. Step 4: Simplify right side
    360.54x = 117,451.81
  5. Step 5: Solve for x
    x = 117,451.81/360.54
  6. Step 6: Final answer
    x = 325.77

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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.