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Finding the Fourth Proportional to 524.69, 724.15 and 300.59

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Solution

The fourth proportional to 524.69, 724.15 and 300.59 is: 414.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.69 : 724.15 = 300.59 : x
  2. Step 2: Convert to fraction form
    524.69/724.15 = 300.59/x
  3. Step 3: Cross multiply
    524.69x = 724.15 × 300.59
  4. Step 4: Simplify right side
    524.69x = 217,670.03
  5. Step 5: Solve for x
    x = 217,670.03/524.69
  6. Step 6: Final answer
    x = 414.85

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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.