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Finding the Fourth Proportional to 516.65, 775.38 and 384.98

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Solution

The fourth proportional to 516.65, 775.38 and 384.98 is: 577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.65 : 775.38 = 384.98 : x
  2. Step 2: Convert to fraction form
    516.65/775.38 = 384.98/x
  3. Step 3: Cross multiply
    516.65x = 775.38 × 384.98
  4. Step 4: Simplify right side
    516.65x = 298,501.92
  5. Step 5: Solve for x
    x = 298,501.92/516.65
  6. Step 6: Final answer
    x = 577.77

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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.