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Finding the Fourth Proportional to 563.46, 777.51 and 342.47

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Solution

The fourth proportional to 563.46, 777.51 and 342.47 is: 472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.46 : 777.51 = 342.47 : x
  2. Step 2: Convert to fraction form
    563.46/777.51 = 342.47/x
  3. Step 3: Cross multiply
    563.46x = 777.51 × 342.47
  4. Step 4: Simplify right side
    563.46x = 266,269.96
  5. Step 5: Solve for x
    x = 266,269.96/563.46
  6. Step 6: Final answer
    x = 472.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.