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Finding the Fourth Proportional to 338.10, 463.82 and 317.15

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Solution

The fourth proportional to 338.10, 463.82 and 317.15 is: 435.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.10 : 463.82 = 317.15 : x
  2. Step 2: Convert to fraction form
    338.10/463.82 = 317.15/x
  3. Step 3: Cross multiply
    338.10x = 463.82 × 317.15
  4. Step 4: Simplify right side
    338.10x = 147,098.99
  5. Step 5: Solve for x
    x = 147,098.99/338.10
  6. Step 6: Final answer
    x = 435.08

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.