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Finding the Fourth Proportional to 624.83, 862.29 and 376.26

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Solution

The fourth proportional to 624.83, 862.29 and 376.26 is: 519.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.83 : 862.29 = 376.26 : x
  2. Step 2: Convert to fraction form
    624.83/862.29 = 376.26/x
  3. Step 3: Cross multiply
    624.83x = 862.29 × 376.26
  4. Step 4: Simplify right side
    624.83x = 324,445.24
  5. Step 5: Solve for x
    x = 324,445.24/624.83
  6. Step 6: Final answer
    x = 519.25

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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.