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Finding the Fourth Proportional to 534.17, 801.34 and 205.10

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Solution

The fourth proportional to 534.17, 801.34 and 205.10 is: 307.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.17 : 801.34 = 205.10 : x
  2. Step 2: Convert to fraction form
    534.17/801.34 = 205.10/x
  3. Step 3: Cross multiply
    534.17x = 801.34 × 205.10
  4. Step 4: Simplify right side
    534.17x = 164,351.93
  5. Step 5: Solve for x
    x = 164,351.93/534.17
  6. Step 6: Final answer
    x = 307.68

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