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Finding the Fourth Proportional to 587.02, 879.99 and 202.18

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Solution

The fourth proportional to 587.02, 879.99 and 202.18 is: 303.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.02 : 879.99 = 202.18 : x
  2. Step 2: Convert to fraction form
    587.02/879.99 = 202.18/x
  3. Step 3: Cross multiply
    587.02x = 879.99 × 202.18
  4. Step 4: Simplify right side
    587.02x = 177,916.38
  5. Step 5: Solve for x
    x = 177,916.38/587.02
  6. Step 6: Final answer
    x = 303.08

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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.