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Finding the Fourth Proportional to 524.32, 785.76 and 250.24

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Solution

The fourth proportional to 524.32, 785.76 and 250.24 is: 375.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.32 : 785.76 = 250.24 : x
  2. Step 2: Convert to fraction form
    524.32/785.76 = 250.24/x
  3. Step 3: Cross multiply
    524.32x = 785.76 × 250.24
  4. Step 4: Simplify right side
    524.32x = 196,628.58
  5. Step 5: Solve for x
    x = 196,628.58/524.32
  6. Step 6: Final answer
    x = 375.02

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