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Finding the Fourth Proportional to 315.52, 473.64 and 211.48

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Solution

The fourth proportional to 315.52, 473.64 and 211.48 is: 317.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.52 : 473.64 = 211.48 : x
  2. Step 2: Convert to fraction form
    315.52/473.64 = 211.48/x
  3. Step 3: Cross multiply
    315.52x = 473.64 × 211.48
  4. Step 4: Simplify right side
    315.52x = 100,165.39
  5. Step 5: Solve for x
    x = 100,165.39/315.52
  6. Step 6: Final answer
    x = 317.46

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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.