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Finding the Fourth Proportional to 590.72, 815.14 and 325.10

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Solution

The fourth proportional to 590.72, 815.14 and 325.10 is: 448.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.72 : 815.14 = 325.10 : x
  2. Step 2: Convert to fraction form
    590.72/815.14 = 325.10/x
  3. Step 3: Cross multiply
    590.72x = 815.14 × 325.10
  4. Step 4: Simplify right side
    590.72x = 265,003.24
  5. Step 5: Solve for x
    x = 265,003.24/590.72
  6. Step 6: Final answer
    x = 448.61

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