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Finding the Fourth Proportional to 590.19, 814.50 and 341.52

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Solution

The fourth proportional to 590.19, 814.50 and 341.52 is: 471.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.19 : 814.50 = 341.52 : x
  2. Step 2: Convert to fraction form
    590.19/814.50 = 341.52/x
  3. Step 3: Cross multiply
    590.19x = 814.50 × 341.52
  4. Step 4: Simplify right side
    590.19x = 278,168.04
  5. Step 5: Solve for x
    x = 278,168.04/590.19
  6. Step 6: Final answer
    x = 471.32

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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.