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Finding the Fourth Proportional to 534.10, 801.07 and 328.30

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Solution

The fourth proportional to 534.10, 801.07 and 328.30 is: 492.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.10 : 801.07 = 328.30 : x
  2. Step 2: Convert to fraction form
    534.10/801.07 = 328.30/x
  3. Step 3: Cross multiply
    534.10x = 801.07 × 328.30
  4. Step 4: Simplify right side
    534.10x = 262,991.28
  5. Step 5: Solve for x
    x = 262,991.28/534.10
  6. Step 6: Final answer
    x = 492.40

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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.