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Finding the Fourth Proportional to 524.57, 723.87 and 300.49

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Solution

The fourth proportional to 524.57, 723.87 and 300.49 is: 414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.57 : 723.87 = 300.49 : x
  2. Step 2: Convert to fraction form
    524.57/723.87 = 300.49/x
  3. Step 3: Cross multiply
    524.57x = 723.87 × 300.49
  4. Step 4: Simplify right side
    524.57x = 217,513.89
  5. Step 5: Solve for x
    x = 217,513.89/524.57
  6. Step 6: Final answer
    x = 414.66

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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.