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Finding the Fourth Proportional to 524.41, 723.63 and 303.43

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Solution

The fourth proportional to 524.41, 723.63 and 303.43 is: 418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.41 : 723.63 = 303.43 : x
  2. Step 2: Convert to fraction form
    524.41/723.63 = 303.43/x
  3. Step 3: Cross multiply
    524.41x = 723.63 × 303.43
  4. Step 4: Simplify right side
    524.41x = 219,572.86
  5. Step 5: Solve for x
    x = 219,572.86/524.41
  6. Step 6: Final answer
    x = 418.70

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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.