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Finding the Fourth Proportional to 594.18, 891.27 and 268.56

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Solution

The fourth proportional to 594.18, 891.27 and 268.56 is: 402.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.18 : 891.27 = 268.56 : x
  2. Step 2: Convert to fraction form
    594.18/891.27 = 268.56/x
  3. Step 3: Cross multiply
    594.18x = 891.27 × 268.56
  4. Step 4: Simplify right side
    594.18x = 239,359.47
  5. Step 5: Solve for x
    x = 239,359.47/594.18
  6. Step 6: Final answer
    x = 402.84

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Why These Related Problems?

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