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Finding the Fourth Proportional to 516.15, 711.66 and 384.93

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Solution

The fourth proportional to 516.15, 711.66 and 384.93 is: 530.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.15 : 711.66 = 384.93 : x
  2. Step 2: Convert to fraction form
    516.15/711.66 = 384.93/x
  3. Step 3: Cross multiply
    516.15x = 711.66 × 384.93
  4. Step 4: Simplify right side
    516.15x = 273,939.28
  5. Step 5: Solve for x
    x = 273,939.28/516.15
  6. Step 6: Final answer
    x = 530.74

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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.