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Finding the Fourth Proportional to 563.93, 778.13 and 315.23

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Solution

The fourth proportional to 563.93, 778.13 and 315.23 is: 434.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.93 : 778.13 = 315.23 : x
  2. Step 2: Convert to fraction form
    563.93/778.13 = 315.23/x
  3. Step 3: Cross multiply
    563.93x = 778.13 × 315.23
  4. Step 4: Simplify right side
    563.93x = 245,284.45
  5. Step 5: Solve for x
    x = 245,284.45/563.93
  6. Step 6: Final answer
    x = 434.96

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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.