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Finding the Fourth Proportional to 516.07, 772.95 and 400.16

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Solution

The fourth proportional to 516.07, 772.95 and 400.16 is: 599.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.07 : 772.95 = 400.16 : x
  2. Step 2: Convert to fraction form
    516.07/772.95 = 400.16/x
  3. Step 3: Cross multiply
    516.07x = 772.95 × 400.16
  4. Step 4: Simplify right side
    516.07x = 309,305.60
  5. Step 5: Solve for x
    x = 309,305.60/516.07
  6. Step 6: Final answer
    x = 599.35

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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.