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Finding the Fourth Proportional to 315.84, 435.60 and 212.32

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Solution

The fourth proportional to 315.84, 435.60 and 212.32 is: 292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.84 : 435.60 = 212.32 : x
  2. Step 2: Convert to fraction form
    315.84/435.60 = 212.32/x
  3. Step 3: Cross multiply
    315.84x = 435.60 × 212.32
  4. Step 4: Simplify right side
    315.84x = 92,486.59
  5. Step 5: Solve for x
    x = 92,486.59/315.84
  6. Step 6: Final answer
    x = 292.83

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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.