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Finding the Fourth Proportional to 590.08, 885.08 and 199.95

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Solution

The fourth proportional to 590.08, 885.08 and 199.95 is: 299.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.08 : 885.08 = 199.95 : x
  2. Step 2: Convert to fraction form
    590.08/885.08 = 199.95/x
  3. Step 3: Cross multiply
    590.08x = 885.08 × 199.95
  4. Step 4: Simplify right side
    590.08x = 176,972.25
  5. Step 5: Solve for x
    x = 176,972.25/590.08
  6. Step 6: Final answer
    x = 299.91

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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.