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Finding the Fourth Proportional to 524.61, 724.06 and 347.57

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Solution

The fourth proportional to 524.61, 724.06 and 347.57 is: 479.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.61 : 724.06 = 347.57 : x
  2. Step 2: Convert to fraction form
    524.61/724.06 = 347.57/x
  3. Step 3: Cross multiply
    524.61x = 724.06 × 347.57
  4. Step 4: Simplify right side
    524.61x = 251,662.48
  5. Step 5: Solve for x
    x = 251,662.48/524.61
  6. Step 6: Final answer
    x = 479.71

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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.