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Finding the Fourth Proportional to 360.52, 497.54 and 262.31

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Solution

The fourth proportional to 360.52, 497.54 and 262.31 is: 362.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.52 : 497.54 = 262.31 : x
  2. Step 2: Convert to fraction form
    360.52/497.54 = 262.31/x
  3. Step 3: Cross multiply
    360.52x = 497.54 × 262.31
  4. Step 4: Simplify right side
    360.52x = 130,507.89
  5. Step 5: Solve for x
    x = 130,507.89/360.52
  6. Step 6: Final answer
    x = 362.00

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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.