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Finding the Fourth Proportional to 524.16, 786.44 and 250.11

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Solution

The fourth proportional to 524.16, 786.44 and 250.11 is: 375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.16 : 786.44 = 250.11 : x
  2. Step 2: Convert to fraction form
    524.16/786.44 = 250.11/x
  3. Step 3: Cross multiply
    524.16x = 786.44 × 250.11
  4. Step 4: Simplify right side
    524.16x = 196,696.51
  5. Step 5: Solve for x
    x = 196,696.51/524.16
  6. Step 6: Final answer
    x = 375.26

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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.