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Finding the Fourth Proportional to 438.42, 605.19 and 291.26

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Solution

The fourth proportional to 438.42, 605.19 and 291.26 is: 402.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.42 : 605.19 = 291.26 : x
  2. Step 2: Convert to fraction form
    438.42/605.19 = 291.26/x
  3. Step 3: Cross multiply
    438.42x = 605.19 × 291.26
  4. Step 4: Simplify right side
    438.42x = 176,270.24
  5. Step 5: Solve for x
    x = 176,270.24/438.42
  6. Step 6: Final answer
    x = 402.05

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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.