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Finding the Fourth Proportional to 563.77, 777.66 and 342.87

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Solution

The fourth proportional to 563.77, 777.66 and 342.87 is: 472.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.77 : 777.66 = 342.87 : x
  2. Step 2: Convert to fraction form
    563.77/777.66 = 342.87/x
  3. Step 3: Cross multiply
    563.77x = 777.66 × 342.87
  4. Step 4: Simplify right side
    563.77x = 266,638.23
  5. Step 5: Solve for x
    x = 266,638.23/563.77
  6. Step 6: Final answer
    x = 472.96

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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.