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Finding the Fourth Proportional to 560.31, 839.94 and 514.17

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Solution

The fourth proportional to 560.31, 839.94 and 514.17 is: 770.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.31 : 839.94 = 514.17 : x
  2. Step 2: Convert to fraction form
    560.31/839.94 = 514.17/x
  3. Step 3: Cross multiply
    560.31x = 839.94 × 514.17
  4. Step 4: Simplify right side
    560.31x = 431,871.95
  5. Step 5: Solve for x
    x = 431,871.95/560.31
  6. Step 6: Final answer
    x = 770.77

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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.