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Finding the Fourth Proportional to 314.48, 472.20 and 218.48

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Solution

The fourth proportional to 314.48, 472.20 and 218.48 is: 328.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.48 : 472.20 = 218.48 : x
  2. Step 2: Convert to fraction form
    314.48/472.20 = 218.48/x
  3. Step 3: Cross multiply
    314.48x = 472.20 × 218.48
  4. Step 4: Simplify right side
    314.48x = 103,166.26
  5. Step 5: Solve for x
    x = 103,166.26/314.48
  6. Step 6: Final answer
    x = 328.05

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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.