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Finding the Fourth Proportional to 563.92, 777.72 and 506.32

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Solution

The fourth proportional to 563.92, 777.72 and 506.32 is: 698.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.92 : 777.72 = 506.32 : x
  2. Step 2: Convert to fraction form
    563.92/777.72 = 506.32/x
  3. Step 3: Cross multiply
    563.92x = 777.72 × 506.32
  4. Step 4: Simplify right side
    563.92x = 393,775.19
  5. Step 5: Solve for x
    x = 393,775.19/563.92
  6. Step 6: Final answer
    x = 698.28

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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.