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Finding the Fourth Proportional to 524.37, 786.86 and 496.22

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Solution

The fourth proportional to 524.37, 786.86 and 496.22 is: 744.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.37 : 786.86 = 496.22 : x
  2. Step 2: Convert to fraction form
    524.37/786.86 = 496.22/x
  3. Step 3: Cross multiply
    524.37x = 786.86 × 496.22
  4. Step 4: Simplify right side
    524.37x = 390,453.19
  5. Step 5: Solve for x
    x = 390,453.19/524.37
  6. Step 6: Final answer
    x = 744.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.