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Finding the Fourth Proportional to 534.41, 801.86 and 317.99

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Solution

The fourth proportional to 534.41, 801.86 and 317.99 is: 477.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.41 : 801.86 = 317.99 : x
  2. Step 2: Convert to fraction form
    534.41/801.86 = 317.99/x
  3. Step 3: Cross multiply
    534.41x = 801.86 × 317.99
  4. Step 4: Simplify right side
    534.41x = 254,982.73
  5. Step 5: Solve for x
    x = 254,982.73/534.41
  6. Step 6: Final answer
    x = 477.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.