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Finding the Fourth Proportional to 624.80, 856.82 and 593.21

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Solution

The fourth proportional to 624.80, 856.82 and 593.21 is: 813.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.80 : 856.82 = 593.21 : x
  2. Step 2: Convert to fraction form
    624.80/856.82 = 593.21/x
  3. Step 3: Cross multiply
    624.80x = 856.82 × 593.21
  4. Step 4: Simplify right side
    624.80x = 508,266.94
  5. Step 5: Solve for x
    x = 508,266.94/624.80
  6. Step 6: Final answer
    x = 813.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.