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Finding the Fourth Proportional to 590.19, 814.46 and 341.50

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Solution

The fourth proportional to 590.19, 814.46 and 341.50 is: 471.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.19 : 814.46 = 341.50 : x
  2. Step 2: Convert to fraction form
    590.19/814.46 = 341.50/x
  3. Step 3: Cross multiply
    590.19x = 814.46 × 341.50
  4. Step 4: Simplify right side
    590.19x = 278,137.79
  5. Step 5: Solve for x
    x = 278,137.79/590.19
  6. Step 6: Final answer
    x = 471.27

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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.