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Finding the Fourth Proportional to 540.47, 811.21 and 248.13

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Solution

The fourth proportional to 540.47, 811.21 and 248.13 is: 372.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.47 : 811.21 = 248.13 : x
  2. Step 2: Convert to fraction form
    540.47/811.21 = 248.13/x
  3. Step 3: Cross multiply
    540.47x = 811.21 × 248.13
  4. Step 4: Simplify right side
    540.47x = 201,283.51
  5. Step 5: Solve for x
    x = 201,283.51/540.47
  6. Step 6: Final answer
    x = 372.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.