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Finding the Fourth Proportional to 360.96, 539.20 and 296

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Solution

The fourth proportional to 360.96, 539.20 and 296 is: 442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.96 : 539.20 = 296 : x
  2. Step 2: Convert to fraction form
    360.96/539.20 = 296/x
  3. Step 3: Cross multiply
    360.96x = 539.20 × 296
  4. Step 4: Simplify right side
    360.96x = 159,603.20
  5. Step 5: Solve for x
    x = 159,603.20/360.96
  6. Step 6: Final answer
    x = 442.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.