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Finding the Fourth Proportional to 315.77, 473.24 and 239.22

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Solution

The fourth proportional to 315.77, 473.24 and 239.22 is: 358.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.77 : 473.24 = 239.22 : x
  2. Step 2: Convert to fraction form
    315.77/473.24 = 239.22/x
  3. Step 3: Cross multiply
    315.77x = 473.24 × 239.22
  4. Step 4: Simplify right side
    315.77x = 113,207.28
  5. Step 5: Solve for x
    x = 113,207.28/315.77
  6. Step 6: Final answer
    x = 358.52

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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.