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Finding the Fourth Proportional to 524.58, 786.90 and 200.19

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Solution

The fourth proportional to 524.58, 786.90 and 200.19 is: 300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.58 : 786.90 = 200.19 : x
  2. Step 2: Convert to fraction form
    524.58/786.90 = 200.19/x
  3. Step 3: Cross multiply
    524.58x = 786.90 × 200.19
  4. Step 4: Simplify right side
    524.58x = 157,529.51
  5. Step 5: Solve for x
    x = 157,529.51/524.58
  6. Step 6: Final answer
    x = 300.30

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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.