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Finding the Fourth Proportional to 338.10, 465.93 and 315.78

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Solution

The fourth proportional to 338.10, 465.93 and 315.78 is: 435.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.10 : 465.93 = 315.78 : x
  2. Step 2: Convert to fraction form
    338.10/465.93 = 315.78/x
  3. Step 3: Cross multiply
    338.10x = 465.93 × 315.78
  4. Step 4: Simplify right side
    338.10x = 147,131.38
  5. Step 5: Solve for x
    x = 147,131.38/338.10
  6. Step 6: Final answer
    x = 435.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.