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Finding the Fourth Proportional to 431.06, 590.55 and 414.62

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Solution

The fourth proportional to 431.06, 590.55 and 414.62 is: 568.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.06 : 590.55 = 414.62 : x
  2. Step 2: Convert to fraction form
    431.06/590.55 = 414.62/x
  3. Step 3: Cross multiply
    431.06x = 590.55 × 414.62
  4. Step 4: Simplify right side
    431.06x = 244,851.77
  5. Step 5: Solve for x
    x = 244,851.77/431.06
  6. Step 6: Final answer
    x = 568.02

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.