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Finding the Fourth Proportional to 590.82, 815.29 and 328.83

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Solution

The fourth proportional to 590.82, 815.29 and 328.83 is: 453.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.82 : 815.29 = 328.83 : x
  2. Step 2: Convert to fraction form
    590.82/815.29 = 328.83/x
  3. Step 3: Cross multiply
    590.82x = 815.29 × 328.83
  4. Step 4: Simplify right side
    590.82x = 268,091.81
  5. Step 5: Solve for x
    x = 268,091.81/590.82
  6. Step 6: Final answer
    x = 453.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.