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Finding the Fourth Proportional to 524.70, 724.05 and 300.69

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Solution

The fourth proportional to 524.70, 724.05 and 300.69 is: 414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.70 : 724.05 = 300.69 : x
  2. Step 2: Convert to fraction form
    524.70/724.05 = 300.69/x
  3. Step 3: Cross multiply
    524.70x = 724.05 × 300.69
  4. Step 4: Simplify right side
    524.70x = 217,714.59
  5. Step 5: Solve for x
    x = 217,714.59/524.70
  6. Step 6: Final answer
    x = 414.93

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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.