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Finding the Fourth Proportional to 315.08, 470.37 and 274.08

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Solution

The fourth proportional to 315.08, 470.37 and 274.08 is: 409.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.08 : 470.37 = 274.08 : x
  2. Step 2: Convert to fraction form
    315.08/470.37 = 274.08/x
  3. Step 3: Cross multiply
    315.08x = 470.37 × 274.08
  4. Step 4: Simplify right side
    315.08x = 128,917.64
  5. Step 5: Solve for x
    x = 128,917.64/315.08
  6. Step 6: Final answer
    x = 409.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.