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Finding the Fourth Proportional to 560.52, 774.35 and 443.27

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Solution

The fourth proportional to 560.52, 774.35 and 443.27 is: 612.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.52 : 774.35 = 443.27 : x
  2. Step 2: Convert to fraction form
    560.52/774.35 = 443.27/x
  3. Step 3: Cross multiply
    560.52x = 774.35 × 443.27
  4. Step 4: Simplify right side
    560.52x = 343,240.04
  5. Step 5: Solve for x
    x = 343,240.04/560.52
  6. Step 6: Final answer
    x = 612.36

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Why These Related Problems?

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