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Finding the Fourth Proportional to 314, 468.80 and 268.38

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Solution

The fourth proportional to 314, 468.80 and 268.38 is: 400.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    314 : 468.80 = 268.38 : x
  2. Step 2: Convert to fraction form
    314/468.80 = 268.38/x
  3. Step 3: Cross multiply
    314x = 468.80 × 268.38
  4. Step 4: Simplify right side
    314x = 125,816.54
  5. Step 5: Solve for x
    x = 125,816.54/314
  6. Step 6: Final answer
    x = 400.69

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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.