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Finding the Fourth Proportional to 590.08, 883.83 and 538.51

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Solution

The fourth proportional to 590.08, 883.83 and 538.51 is: 806.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.08 : 883.83 = 538.51 : x
  2. Step 2: Convert to fraction form
    590.08/883.83 = 538.51/x
  3. Step 3: Cross multiply
    590.08x = 883.83 × 538.51
  4. Step 4: Simplify right side
    590.08x = 475,944.18
  5. Step 5: Solve for x
    x = 475,944.18/590.08
  6. Step 6: Final answer
    x = 806.58

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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.