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Finding the Fourth Proportional to 524.81, 787.07 and 200.00

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Solution

The fourth proportional to 524.81, 787.07 and 200.00 is: 299.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.81 : 787.07 = 200.00 : x
  2. Step 2: Convert to fraction form
    524.81/787.07 = 200.00/x
  3. Step 3: Cross multiply
    524.81x = 787.07 × 200.00
  4. Step 4: Simplify right side
    524.81x = 157,409.06
  5. Step 5: Solve for x
    x = 157,409.06/524.81
  6. Step 6: Final answer
    x = 299.94

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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.