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Finding the Fourth Proportional to 560.16, 776.28 and 552.32

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Solution

The fourth proportional to 560.16, 776.28 and 552.32 is: 765.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.16 : 776.28 = 552.32 : x
  2. Step 2: Convert to fraction form
    560.16/776.28 = 552.32/x
  3. Step 3: Cross multiply
    560.16x = 776.28 × 552.32
  4. Step 4: Simplify right side
    560.16x = 428,754.97
  5. Step 5: Solve for x
    x = 428,754.97/560.16
  6. Step 6: Final answer
    x = 765.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.