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Finding the Fourth Proportional to 314.04, 468.41 and 270.20

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Solution

The fourth proportional to 314.04, 468.41 and 270.20 is: 403.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.04 : 468.41 = 270.20 : x
  2. Step 2: Convert to fraction form
    314.04/468.41 = 270.20/x
  3. Step 3: Cross multiply
    314.04x = 468.41 × 270.20
  4. Step 4: Simplify right side
    314.04x = 126,560.69
  5. Step 5: Solve for x
    x = 126,560.69/314.04
  6. Step 6: Final answer
    x = 403.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.