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Finding the Fourth Proportional to 360.63, 497.90 and 277.57

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Solution

The fourth proportional to 360.63, 497.90 and 277.57 is: 383.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.63 : 497.90 = 277.57 : x
  2. Step 2: Convert to fraction form
    360.63/497.90 = 277.57/x
  3. Step 3: Cross multiply
    360.63x = 497.90 × 277.57
  4. Step 4: Simplify right side
    360.63x = 138,202.10
  5. Step 5: Solve for x
    x = 138,202.10/360.63
  6. Step 6: Final answer
    x = 383.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.