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Finding the Fourth Proportional to 925.15, 1,387.97 and 405.27

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Solution

The fourth proportional to 925.15, 1,387.97 and 405.27 is: 608.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.15 : 1,387.97 = 405.27 : x
  2. Step 2: Convert to fraction form
    925.15/1,387.97 = 405.27/x
  3. Step 3: Cross multiply
    925.15x = 1,387.97 × 405.27
  4. Step 4: Simplify right side
    925.15x = 562,502.60
  5. Step 5: Solve for x
    x = 562,502.60/925.15
  6. Step 6: Final answer
    x = 608.01

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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.