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Finding the Fourth Proportional to 524.98, 724.16 and 357.22

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Solution

The fourth proportional to 524.98, 724.16 and 357.22 is: 492.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.98 : 724.16 = 357.22 : x
  2. Step 2: Convert to fraction form
    524.98/724.16 = 357.22/x
  3. Step 3: Cross multiply
    524.98x = 724.16 × 357.22
  4. Step 4: Simplify right side
    524.98x = 258,684.44
  5. Step 5: Solve for x
    x = 258,684.44/524.98
  6. Step 6: Final answer
    x = 492.75

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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.