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Finding the Fourth Proportional to 524.34, 723.74 and 358.97

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Solution

The fourth proportional to 524.34, 723.74 and 358.97 is: 495.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.34 : 723.74 = 358.97 : x
  2. Step 2: Convert to fraction form
    524.34/723.74 = 358.97/x
  3. Step 3: Cross multiply
    524.34x = 723.74 × 358.97
  4. Step 4: Simplify right side
    524.34x = 259,795.53
  5. Step 5: Solve for x
    x = 259,795.53/524.34
  6. Step 6: Final answer
    x = 495.47

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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.