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Finding the Fourth Proportional to 487.02, 729.93 and 198.30

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Solution

The fourth proportional to 487.02, 729.93 and 198.30 is: 297.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.02 : 729.93 = 198.30 : x
  2. Step 2: Convert to fraction form
    487.02/729.93 = 198.30/x
  3. Step 3: Cross multiply
    487.02x = 729.93 × 198.30
  4. Step 4: Simplify right side
    487.02x = 144,745.12
  5. Step 5: Solve for x
    x = 144,745.12/487.02
  6. Step 6: Final answer
    x = 297.21

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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.