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Finding the Fourth Proportional to 590.85, 815.58 and 342.27

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Solution

The fourth proportional to 590.85, 815.58 and 342.27 is: 472.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.85 : 815.58 = 342.27 : x
  2. Step 2: Convert to fraction form
    590.85/815.58 = 342.27/x
  3. Step 3: Cross multiply
    590.85x = 815.58 × 342.27
  4. Step 4: Simplify right side
    590.85x = 279,148.57
  5. Step 5: Solve for x
    x = 279,148.57/590.85
  6. Step 6: Final answer
    x = 472.45

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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.