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Finding the Fourth Proportional to 563.05, 776.89 and 474.87

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Solution

The fourth proportional to 563.05, 776.89 and 474.87 is: 655.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.05 : 776.89 = 474.87 : x
  2. Step 2: Convert to fraction form
    563.05/776.89 = 474.87/x
  3. Step 3: Cross multiply
    563.05x = 776.89 × 474.87
  4. Step 4: Simplify right side
    563.05x = 368,921.75
  5. Step 5: Solve for x
    x = 368,921.75/563.05
  6. Step 6: Final answer
    x = 655.22

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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.