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Finding the Fourth Proportional to 356.18, 533.37 and 298.26

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Solution

The fourth proportional to 356.18, 533.37 and 298.26 is: 446.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.18 : 533.37 = 298.26 : x
  2. Step 2: Convert to fraction form
    356.18/533.37 = 298.26/x
  3. Step 3: Cross multiply
    356.18x = 533.37 × 298.26
  4. Step 4: Simplify right side
    356.18x = 159,082.94
  5. Step 5: Solve for x
    x = 159,082.94/356.18
  6. Step 6: Final answer
    x = 446.64

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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.