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Finding the Fourth Proportional to 315.84, 435.96 and 216.32

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Solution

The fourth proportional to 315.84, 435.96 and 216.32 is: 298.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.84 : 435.96 = 216.32 : x
  2. Step 2: Convert to fraction form
    315.84/435.96 = 216.32/x
  3. Step 3: Cross multiply
    315.84x = 435.96 × 216.32
  4. Step 4: Simplify right side
    315.84x = 94,306.87
  5. Step 5: Solve for x
    x = 94,306.87/315.84
  6. Step 6: Final answer
    x = 298.59

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Why These Related Problems?

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