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Finding the Fourth Proportional to 314.17, 468.94 and 268.18

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Solution

The fourth proportional to 314.17, 468.94 and 268.18 is: 400.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.17 : 468.94 = 268.18 : x
  2. Step 2: Convert to fraction form
    314.17/468.94 = 268.18/x
  3. Step 3: Cross multiply
    314.17x = 468.94 × 268.18
  4. Step 4: Simplify right side
    314.17x = 125,758.99
  5. Step 5: Solve for x
    x = 125,758.99/314.17
  6. Step 6: Final answer
    x = 400.29

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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.