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Finding the Fourth Proportional to 563.98, 777.90 and 339.78

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Solution

The fourth proportional to 563.98, 777.90 and 339.78 is: 468.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.98 : 777.90 = 339.78 : x
  2. Step 2: Convert to fraction form
    563.98/777.90 = 339.78/x
  3. Step 3: Cross multiply
    563.98x = 777.90 × 339.78
  4. Step 4: Simplify right side
    563.98x = 264,314.86
  5. Step 5: Solve for x
    x = 264,314.86/563.98
  6. Step 6: Final answer
    x = 468.66

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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.