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Finding the Fourth Proportional to 563.56, 777.66 and 522.28

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Solution

The fourth proportional to 563.56, 777.66 and 522.28 is: 720.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.56 : 777.66 = 522.28 : x
  2. Step 2: Convert to fraction form
    563.56/777.66 = 522.28/x
  3. Step 3: Cross multiply
    563.56x = 777.66 × 522.28
  4. Step 4: Simplify right side
    563.56x = 406,156.26
  5. Step 5: Solve for x
    x = 406,156.26/563.56
  6. Step 6: Final answer
    x = 720.70

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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.