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Finding the Fourth Proportional to 563.84, 778.84 and 434.46

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Solution

The fourth proportional to 563.84, 778.84 and 434.46 is: 600.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.84 : 778.84 = 434.46 : x
  2. Step 2: Convert to fraction form
    563.84/778.84 = 434.46/x
  3. Step 3: Cross multiply
    563.84x = 778.84 × 434.46
  4. Step 4: Simplify right side
    563.84x = 338,374.83
  5. Step 5: Solve for x
    x = 338,374.83/563.84
  6. Step 6: Final answer
    x = 600.13

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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.