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Finding the Fourth Proportional to 574.29, 856.94 and 500.49

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Solution

The fourth proportional to 574.29, 856.94 and 500.49 is: 746.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.29 : 856.94 = 500.49 : x
  2. Step 2: Convert to fraction form
    574.29/856.94 = 500.49/x
  3. Step 3: Cross multiply
    574.29x = 856.94 × 500.49
  4. Step 4: Simplify right side
    574.29x = 428,887.40
  5. Step 5: Solve for x
    x = 428,887.40/574.29
  6. Step 6: Final answer
    x = 746.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.