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Finding the Fourth Proportional to 355.52, 534.08 and 253.12

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Solution

The fourth proportional to 355.52, 534.08 and 253.12 is: 380.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.52 : 534.08 = 253.12 : x
  2. Step 2: Convert to fraction form
    355.52/534.08 = 253.12/x
  3. Step 3: Cross multiply
    355.52x = 534.08 × 253.12
  4. Step 4: Simplify right side
    355.52x = 135,186.33
  5. Step 5: Solve for x
    x = 135,186.33/355.52
  6. Step 6: Final answer
    x = 380.25

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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.