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Finding the Fourth Proportional to 524.19, 723.11 and 314.26

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Solution

The fourth proportional to 524.19, 723.11 and 314.26 is: 433.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.19 : 723.11 = 314.26 : x
  2. Step 2: Convert to fraction form
    524.19/723.11 = 314.26/x
  3. Step 3: Cross multiply
    524.19x = 723.11 × 314.26
  4. Step 4: Simplify right side
    524.19x = 227,243.88
  5. Step 5: Solve for x
    x = 227,243.88/524.19
  6. Step 6: Final answer
    x = 433.52

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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.