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Finding the Fourth Proportional to 335.47, 463.41 and 317.95

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Solution

The fourth proportional to 335.47, 463.41 and 317.95 is: 439.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.47 : 463.41 = 317.95 : x
  2. Step 2: Convert to fraction form
    335.47/463.41 = 317.95/x
  3. Step 3: Cross multiply
    335.47x = 463.41 × 317.95
  4. Step 4: Simplify right side
    335.47x = 147,341.21
  5. Step 5: Solve for x
    x = 147,341.21/335.47
  6. Step 6: Final answer
    x = 439.21

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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.