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Finding the Fourth Proportional to 548.87, 758.10 and 424.94

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Solution

The fourth proportional to 548.87, 758.10 and 424.94 is: 586.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.87 : 758.10 = 424.94 : x
  2. Step 2: Convert to fraction form
    548.87/758.10 = 424.94/x
  3. Step 3: Cross multiply
    548.87x = 758.10 × 424.94
  4. Step 4: Simplify right side
    548.87x = 322,143.22
  5. Step 5: Solve for x
    x = 322,143.22/548.87
  6. Step 6: Final answer
    x = 586.93

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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.