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Finding the Fourth Proportional to 315.84, 436.41 and 298.02

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Solution

The fourth proportional to 315.84, 436.41 and 298.02 is: 411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.84 : 436.41 = 298.02 : x
  2. Step 2: Convert to fraction form
    315.84/436.41 = 298.02/x
  3. Step 3: Cross multiply
    315.84x = 436.41 × 298.02
  4. Step 4: Simplify right side
    315.84x = 130,058.91
  5. Step 5: Solve for x
    x = 130,058.91/315.84
  6. Step 6: Final answer
    x = 411.79

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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.