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Finding the Fourth Proportional to 563.13, 776.88 and 415.71

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Solution

The fourth proportional to 563.13, 776.88 and 415.71 is: 573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.13 : 776.88 = 415.71 : x
  2. Step 2: Convert to fraction form
    563.13/776.88 = 415.71/x
  3. Step 3: Cross multiply
    563.13x = 776.88 × 415.71
  4. Step 4: Simplify right side
    563.13x = 322,956.78
  5. Step 5: Solve for x
    x = 322,956.78/563.13
  6. Step 6: Final answer
    x = 573.50

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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.