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Finding the Fourth Proportional to 298.02, 411.57 and 258.49

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Solution

The fourth proportional to 298.02, 411.57 and 258.49 is: 356.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.02 : 411.57 = 258.49 : x
  2. Step 2: Convert to fraction form
    298.02/411.57 = 258.49/x
  3. Step 3: Cross multiply
    298.02x = 411.57 × 258.49
  4. Step 4: Simplify right side
    298.02x = 106,387.24
  5. Step 5: Solve for x
    x = 106,387.24/298.02
  6. Step 6: Final answer
    x = 356.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.