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Finding the Fourth Proportional to 560.25, 774.77 and 534.47

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Solution

The fourth proportional to 560.25, 774.77 and 534.47 is: 739.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.25 : 774.77 = 534.47 : x
  2. Step 2: Convert to fraction form
    560.25/774.77 = 534.47/x
  3. Step 3: Cross multiply
    560.25x = 774.77 × 534.47
  4. Step 4: Simplify right side
    560.25x = 414,084.78
  5. Step 5: Solve for x
    x = 414,084.78/560.25
  6. Step 6: Final answer
    x = 739.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.