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Finding the Fourth Proportional to 563.88, 777.16 and 432.64

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Solution

The fourth proportional to 563.88, 777.16 and 432.64 is: 596.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.88 : 777.16 = 432.64 : x
  2. Step 2: Convert to fraction form
    563.88/777.16 = 432.64/x
  3. Step 3: Cross multiply
    563.88x = 777.16 × 432.64
  4. Step 4: Simplify right side
    563.88x = 336,230.50
  5. Step 5: Solve for x
    x = 336,230.50/563.88
  6. Step 6: Final answer
    x = 596.28

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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.