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Finding the Fourth Proportional to 431.19, 594.68 and 291.26

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Solution

The fourth proportional to 431.19, 594.68 and 291.26 is: 401.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.19 : 594.68 = 291.26 : x
  2. Step 2: Convert to fraction form
    431.19/594.68 = 291.26/x
  3. Step 3: Cross multiply
    431.19x = 594.68 × 291.26
  4. Step 4: Simplify right side
    431.19x = 173,206.53
  5. Step 5: Solve for x
    x = 173,206.53/431.19
  6. Step 6: Final answer
    x = 401.69

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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.