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Finding the Fourth Proportional to 524.54, 724.01 and 303.63

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Solution

The fourth proportional to 524.54, 724.01 and 303.63 is: 419.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.54 : 724.01 = 303.63 : x
  2. Step 2: Convert to fraction form
    524.54/724.01 = 303.63/x
  3. Step 3: Cross multiply
    524.54x = 724.01 × 303.63
  4. Step 4: Simplify right side
    524.54x = 219,826.92
  5. Step 5: Solve for x
    x = 219,826.92/524.54
  6. Step 6: Final answer
    x = 419.08

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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.