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Finding the Fourth Proportional to 590.04, 884.81 and 179.08

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Solution

The fourth proportional to 590.04, 884.81 and 179.08 is: 268.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.04 : 884.81 = 179.08 : x
  2. Step 2: Convert to fraction form
    590.04/884.81 = 179.08/x
  3. Step 3: Cross multiply
    590.04x = 884.81 × 179.08
  4. Step 4: Simplify right side
    590.04x = 158,450.01
  5. Step 5: Solve for x
    x = 158,450.01/590.04
  6. Step 6: Final answer
    x = 268.54

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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.