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Finding the Fourth Proportional to 431.40, 646.02 and 268.68

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Solution

The fourth proportional to 431.40, 646.02 and 268.68 is: 402.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.40 : 646.02 = 268.68 : x
  2. Step 2: Convert to fraction form
    431.40/646.02 = 268.68/x
  3. Step 3: Cross multiply
    431.40x = 646.02 × 268.68
  4. Step 4: Simplify right side
    431.40x = 173,572.65
  5. Step 5: Solve for x
    x = 173,572.65/431.40
  6. Step 6: Final answer
    x = 402.35

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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.