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Finding the Fourth Proportional to 524.02, 723.11 and 314.18

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Solution

The fourth proportional to 524.02, 723.11 and 314.18 is: 433.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.02 : 723.11 = 314.18 : x
  2. Step 2: Convert to fraction form
    524.02/723.11 = 314.18/x
  3. Step 3: Cross multiply
    524.02x = 723.11 × 314.18
  4. Step 4: Simplify right side
    524.02x = 227,186.94
  5. Step 5: Solve for x
    x = 227,186.94/524.02
  6. Step 6: Final answer
    x = 433.55

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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.