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Finding the Fourth Proportional to 563.72, 777.69 and 350.93

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Solution

The fourth proportional to 563.72, 777.69 and 350.93 is: 484.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.72 : 777.69 = 350.93 : x
  2. Step 2: Convert to fraction form
    563.72/777.69 = 350.93/x
  3. Step 3: Cross multiply
    563.72x = 777.69 × 350.93
  4. Step 4: Simplify right side
    563.72x = 272,910.86
  5. Step 5: Solve for x
    x = 272,910.86/563.72
  6. Step 6: Final answer
    x = 484.13

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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.