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Finding the Fourth Proportional to 387.52, 533.79 and 362.00

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Solution

The fourth proportional to 387.52, 533.79 and 362.00 is: 498.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.52 : 533.79 = 362.00 : x
  2. Step 2: Convert to fraction form
    387.52/533.79 = 362.00/x
  3. Step 3: Cross multiply
    387.52x = 533.79 × 362.00
  4. Step 4: Simplify right side
    387.52x = 193,233.31
  5. Step 5: Solve for x
    x = 193,233.31/387.52
  6. Step 6: Final answer
    x = 498.64

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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.