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Finding the Fourth Proportional to 524.46, 723.69 and 314.67

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Solution

The fourth proportional to 524.46, 723.69 and 314.67 is: 434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.46 : 723.69 = 314.67 : x
  2. Step 2: Convert to fraction form
    524.46/723.69 = 314.67/x
  3. Step 3: Cross multiply
    524.46x = 723.69 × 314.67
  4. Step 4: Simplify right side
    524.46x = 227,723.53
  5. Step 5: Solve for x
    x = 227,723.53/524.46
  6. Step 6: Final answer
    x = 434.21

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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.