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Finding the Fourth Proportional to 808.22, 1,210.57 and 431.90

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Solution

The fourth proportional to 808.22, 1,210.57 and 431.90 is: 646.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.22 : 1,210.57 = 431.90 : x
  2. Step 2: Convert to fraction form
    808.22/1,210.57 = 431.90/x
  3. Step 3: Cross multiply
    808.22x = 1,210.57 × 431.90
  4. Step 4: Simplify right side
    808.22x = 522,845.18
  5. Step 5: Solve for x
    x = 522,845.18/808.22
  6. Step 6: Final answer
    x = 646.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.