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Finding the Fourth Proportional to 315.45, 473.40 and 224.28

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Solution

The fourth proportional to 315.45, 473.40 and 224.28 is: 336.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.45 : 473.40 = 224.28 : x
  2. Step 2: Convert to fraction form
    315.45/473.40 = 224.28/x
  3. Step 3: Cross multiply
    315.45x = 473.40 × 224.28
  4. Step 4: Simplify right side
    315.45x = 106,174.15
  5. Step 5: Solve for x
    x = 106,174.15/315.45
  6. Step 6: Final answer
    x = 336.58

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