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Finding the Fourth Proportional to 431.16, 594.98 and 234.66

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Solution

The fourth proportional to 431.16, 594.98 and 234.66 is: 323.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.16 : 594.98 = 234.66 : x
  2. Step 2: Convert to fraction form
    431.16/594.98 = 234.66/x
  3. Step 3: Cross multiply
    431.16x = 594.98 × 234.66
  4. Step 4: Simplify right side
    431.16x = 139,618.01
  5. Step 5: Solve for x
    x = 139,618.01/431.16
  6. Step 6: Final answer
    x = 323.82

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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.