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Finding the Fourth Proportional to 563.75, 777.98 and 342.66

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Solution

The fourth proportional to 563.75, 777.98 and 342.66 is: 472.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.75 : 777.98 = 342.66 : x
  2. Step 2: Convert to fraction form
    563.75/777.98 = 342.66/x
  3. Step 3: Cross multiply
    563.75x = 777.98 × 342.66
  4. Step 4: Simplify right side
    563.75x = 266,582.63
  5. Step 5: Solve for x
    x = 266,582.63/563.75
  6. Step 6: Final answer
    x = 472.87

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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.