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Finding the Fourth Proportional to 315.42, 473.34 and 171.24

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Solution

The fourth proportional to 315.42, 473.34 and 171.24 is: 256.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.42 : 473.34 = 171.24 : x
  2. Step 2: Convert to fraction form
    315.42/473.34 = 171.24/x
  3. Step 3: Cross multiply
    315.42x = 473.34 × 171.24
  4. Step 4: Simplify right side
    315.42x = 81,054.74
  5. Step 5: Solve for x
    x = 81,054.74/315.42
  6. Step 6: Final answer
    x = 256.97

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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.