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Finding the Fourth Proportional to 623.36, 859.32 and 517.16

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Solution

The fourth proportional to 623.36, 859.32 and 517.16 is: 712.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.36 : 859.32 = 517.16 : x
  2. Step 2: Convert to fraction form
    623.36/859.32 = 517.16/x
  3. Step 3: Cross multiply
    623.36x = 859.32 × 517.16
  4. Step 4: Simplify right side
    623.36x = 444,405.93
  5. Step 5: Solve for x
    x = 444,405.93/623.36
  6. Step 6: Final answer
    x = 712.92

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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.