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Finding the Fourth Proportional to 563.73, 776.89 and 386.74

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Solution

The fourth proportional to 563.73, 776.89 and 386.74 is: 532.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.73 : 776.89 = 386.74 : x
  2. Step 2: Convert to fraction form
    563.73/776.89 = 386.74/x
  3. Step 3: Cross multiply
    563.73x = 776.89 × 386.74
  4. Step 4: Simplify right side
    563.73x = 300,455.89
  5. Step 5: Solve for x
    x = 300,455.89/563.73
  6. Step 6: Final answer
    x = 532.98

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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.