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Finding the Fourth Proportional to 431.11, 647.07 and 335.53

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Solution

The fourth proportional to 431.11, 647.07 and 335.53 is: 503.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.11 : 647.07 = 335.53 : x
  2. Step 2: Convert to fraction form
    431.11/647.07 = 335.53/x
  3. Step 3: Cross multiply
    431.11x = 647.07 × 335.53
  4. Step 4: Simplify right side
    431.11x = 217,111.40
  5. Step 5: Solve for x
    x = 217,111.40/431.11
  6. Step 6: Final answer
    x = 503.61

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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.