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Finding the Fourth Proportional to 360.87, 498.05 and 277.95

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Solution

The fourth proportional to 360.87, 498.05 and 277.95 is: 383.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.87 : 498.05 = 277.95 : x
  2. Step 2: Convert to fraction form
    360.87/498.05 = 277.95/x
  3. Step 3: Cross multiply
    360.87x = 498.05 × 277.95
  4. Step 4: Simplify right side
    360.87x = 138,431.72
  5. Step 5: Solve for x
    x = 138,431.72/360.87
  6. Step 6: Final answer
    x = 383.60

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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.