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Finding the Fourth Proportional to 539.28, 807.70 and 322.40

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Solution

The fourth proportional to 539.28, 807.70 and 322.40 is: 482.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.28 : 807.70 = 322.40 : x
  2. Step 2: Convert to fraction form
    539.28/807.70 = 322.40/x
  3. Step 3: Cross multiply
    539.28x = 807.70 × 322.40
  4. Step 4: Simplify right side
    539.28x = 260,402.48
  5. Step 5: Solve for x
    x = 260,402.48/539.28
  6. Step 6: Final answer
    x = 482.87

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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.