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Finding the Fourth Proportional to 524.73, 785.88 and 264.32

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Solution

The fourth proportional to 524.73, 785.88 and 264.32 is: 395.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.73 : 785.88 = 264.32 : x
  2. Step 2: Convert to fraction form
    524.73/785.88 = 264.32/x
  3. Step 3: Cross multiply
    524.73x = 785.88 × 264.32
  4. Step 4: Simplify right side
    524.73x = 207,723.80
  5. Step 5: Solve for x
    x = 207,723.80/524.73
  6. Step 6: Final answer
    x = 395.87

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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.