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Finding the Fourth Proportional to 524.82, 724.38 and 347.82

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Solution

The fourth proportional to 524.82, 724.38 and 347.82 is: 480.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.82 : 724.38 = 347.82 : x
  2. Step 2: Convert to fraction form
    524.82/724.38 = 347.82/x
  3. Step 3: Cross multiply
    524.82x = 724.38 × 347.82
  4. Step 4: Simplify right side
    524.82x = 251,953.85
  5. Step 5: Solve for x
    x = 251,953.85/524.82
  6. Step 6: Final answer
    x = 480.08

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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.