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Finding the Fourth Proportional to 590.69, 815.13 and 325.11

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Solution

The fourth proportional to 590.69, 815.13 and 325.11 is: 448.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.69 : 815.13 = 325.11 : x
  2. Step 2: Convert to fraction form
    590.69/815.13 = 325.11/x
  3. Step 3: Cross multiply
    590.69x = 815.13 × 325.11
  4. Step 4: Simplify right side
    590.69x = 265,009.97
  5. Step 5: Solve for x
    x = 265,009.97/590.69
  6. Step 6: Final answer
    x = 448.64

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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.