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Finding the Fourth Proportional to 518.46, 777.54 and 284.16

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Solution

The fourth proportional to 518.46, 777.54 and 284.16 is: 426.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.46 : 777.54 = 284.16 : x
  2. Step 2: Convert to fraction form
    518.46/777.54 = 284.16/x
  3. Step 3: Cross multiply
    518.46x = 777.54 × 284.16
  4. Step 4: Simplify right side
    518.46x = 220,945.77
  5. Step 5: Solve for x
    x = 220,945.77/518.46
  6. Step 6: Final answer
    x = 426.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.