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Finding the Fourth Proportional to 315.35, 471.81 and 314.54

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Solution

The fourth proportional to 315.35, 471.81 and 314.54 is: 470.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.35 : 471.81 = 314.54 : x
  2. Step 2: Convert to fraction form
    315.35/471.81 = 314.54/x
  3. Step 3: Cross multiply
    315.35x = 471.81 × 314.54
  4. Step 4: Simplify right side
    315.35x = 148,403.12
  5. Step 5: Solve for x
    x = 148,403.12/315.35
  6. Step 6: Final answer
    x = 470.60

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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.