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Finding the Fourth Proportional to 360.72, 497.10 and 262.32

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Solution

The fourth proportional to 360.72, 497.10 and 262.32 is: 361.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.72 : 497.10 = 262.32 : x
  2. Step 2: Convert to fraction form
    360.72/497.10 = 262.32/x
  3. Step 3: Cross multiply
    360.72x = 497.10 × 262.32
  4. Step 4: Simplify right side
    360.72x = 130,399.27
  5. Step 5: Solve for x
    x = 130,399.27/360.72
  6. Step 6: Final answer
    x = 361.50

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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.