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Finding the Fourth Proportional to 590.71, 815.10 and 341.99

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Solution

The fourth proportional to 590.71, 815.10 and 341.99 is: 471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.71 : 815.10 = 341.99 : x
  2. Step 2: Convert to fraction form
    590.71/815.10 = 341.99/x
  3. Step 3: Cross multiply
    590.71x = 815.10 × 341.99
  4. Step 4: Simplify right side
    590.71x = 278,750.96
  5. Step 5: Solve for x
    x = 278,750.96/590.71
  6. Step 6: Final answer
    x = 471.89

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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.