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Finding the Fourth Proportional to 314.20, 469.22 and 268.64

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Solution

The fourth proportional to 314.20, 469.22 and 268.64 is: 401.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.20 : 469.22 = 268.64 : x
  2. Step 2: Convert to fraction form
    314.20/469.22 = 268.64/x
  3. Step 3: Cross multiply
    314.20x = 469.22 × 268.64
  4. Step 4: Simplify right side
    314.20x = 126,051.26
  5. Step 5: Solve for x
    x = 126,051.26/314.20
  6. Step 6: Final answer
    x = 401.18

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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.