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Finding the Fourth Proportional to 524.34, 723.43 and 314.42

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Solution

The fourth proportional to 524.34, 723.43 and 314.42 is: 433.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.34 : 723.43 = 314.42 : x
  2. Step 2: Convert to fraction form
    524.34/723.43 = 314.42/x
  3. Step 3: Cross multiply
    524.34x = 723.43 × 314.42
  4. Step 4: Simplify right side
    524.34x = 227,457.64
  5. Step 5: Solve for x
    x = 227,457.64/524.34
  6. Step 6: Final answer
    x = 433.80

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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.