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Finding the Fourth Proportional to 588.02, 882.10 and 197.93

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Solution

The fourth proportional to 588.02, 882.10 and 197.93 is: 296.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.02 : 882.10 = 197.93 : x
  2. Step 2: Convert to fraction form
    588.02/882.10 = 197.93/x
  3. Step 3: Cross multiply
    588.02x = 882.10 × 197.93
  4. Step 4: Simplify right side
    588.02x = 174,594.05
  5. Step 5: Solve for x
    x = 174,594.05/588.02
  6. Step 6: Final answer
    x = 296.92

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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.