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Finding the Fourth Proportional to 590.12, 814.32 and 328.14

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Solution

The fourth proportional to 590.12, 814.32 and 328.14 is: 452.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.12 : 814.32 = 328.14 : x
  2. Step 2: Convert to fraction form
    590.12/814.32 = 328.14/x
  3. Step 3: Cross multiply
    590.12x = 814.32 × 328.14
  4. Step 4: Simplify right side
    590.12x = 267,210.96
  5. Step 5: Solve for x
    x = 267,210.96/590.12
  6. Step 6: Final answer
    x = 452.81

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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.