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Finding the Fourth Proportional to 563.50, 776.94 and 416.08

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Solution

The fourth proportional to 563.50, 776.94 and 416.08 is: 573.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.50 : 776.94 = 416.08 : x
  2. Step 2: Convert to fraction form
    563.50/776.94 = 416.08/x
  3. Step 3: Cross multiply
    563.50x = 776.94 × 416.08
  4. Step 4: Simplify right side
    563.50x = 323,269.20
  5. Step 5: Solve for x
    x = 323,269.20/563.50
  6. Step 6: Final answer
    x = 573.68

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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.