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Finding the Fourth Proportional to 516.32, 712.53 and 283.45

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Solution

The fourth proportional to 516.32, 712.53 and 283.45 is: 391.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.32 : 712.53 = 283.45 : x
  2. Step 2: Convert to fraction form
    516.32/712.53 = 283.45/x
  3. Step 3: Cross multiply
    516.32x = 712.53 × 283.45
  4. Step 4: Simplify right side
    516.32x = 201,963.07
  5. Step 5: Solve for x
    x = 201,963.07/516.32
  6. Step 6: Final answer
    x = 391.16

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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.