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Finding the Fourth Proportional to 524.86, 724.26 and 303.78

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Solution

The fourth proportional to 524.86, 724.26 and 303.78 is: 419.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.86 : 724.26 = 303.78 : x
  2. Step 2: Convert to fraction form
    524.86/724.26 = 303.78/x
  3. Step 3: Cross multiply
    524.86x = 724.26 × 303.78
  4. Step 4: Simplify right side
    524.86x = 220,015.70
  5. Step 5: Solve for x
    x = 220,015.70/524.86
  6. Step 6: Final answer
    x = 419.19

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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.