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Finding the Fourth Proportional to 586.23, 879.34 and 196.08

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Solution

The fourth proportional to 586.23, 879.34 and 196.08 is: 294.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.23 : 879.34 = 196.08 : x
  2. Step 2: Convert to fraction form
    586.23/879.34 = 196.08/x
  3. Step 3: Cross multiply
    586.23x = 879.34 × 196.08
  4. Step 4: Simplify right side
    586.23x = 172,420.99
  5. Step 5: Solve for x
    x = 172,420.99/586.23
  6. Step 6: Final answer
    x = 294.12

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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.