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Finding the Fourth Proportional to 315.84, 435.90 and 253.92

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Solution

The fourth proportional to 315.84, 435.90 and 253.92 is: 350.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.84 : 435.90 = 253.92 : x
  2. Step 2: Convert to fraction form
    315.84/435.90 = 253.92/x
  3. Step 3: Cross multiply
    315.84x = 435.90 × 253.92
  4. Step 4: Simplify right side
    315.84x = 110,683.73
  5. Step 5: Solve for x
    x = 110,683.73/315.84
  6. Step 6: Final answer
    x = 350.44

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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.