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Finding the Fourth Proportional to 524.74, 724.10 and 303.71

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Solution

The fourth proportional to 524.74, 724.10 and 303.71 is: 419.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.74 : 724.10 = 303.71 : x
  2. Step 2: Convert to fraction form
    524.74/724.10 = 303.71/x
  3. Step 3: Cross multiply
    524.74x = 724.10 × 303.71
  4. Step 4: Simplify right side
    524.74x = 219,915.36
  5. Step 5: Solve for x
    x = 219,915.36/524.74
  6. Step 6: Final answer
    x = 419.09

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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.