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Finding the Fourth Proportional to 516.16, 712.32 and 384.64

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Solution

The fourth proportional to 516.16, 712.32 and 384.64 is: 530.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.16 : 712.32 = 384.64 : x
  2. Step 2: Convert to fraction form
    516.16/712.32 = 384.64/x
  3. Step 3: Cross multiply
    516.16x = 712.32 × 384.64
  4. Step 4: Simplify right side
    516.16x = 273,986.76
  5. Step 5: Solve for x
    x = 273,986.76/516.16
  6. Step 6: Final answer
    x = 530.82

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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.