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Finding the Fourth Proportional to 315.05, 471.84 and 228.02

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Solution

The fourth proportional to 315.05, 471.84 and 228.02 is: 341.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.05 : 471.84 = 228.02 : x
  2. Step 2: Convert to fraction form
    315.05/471.84 = 228.02/x
  3. Step 3: Cross multiply
    315.05x = 471.84 × 228.02
  4. Step 4: Simplify right side
    315.05x = 107,588.96
  5. Step 5: Solve for x
    x = 107,588.96/315.05
  6. Step 6: Final answer
    x = 341.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.