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Finding the Fourth Proportional to 534.39, 800.66 and 290.17

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Solution

The fourth proportional to 534.39, 800.66 and 290.17 is: 434.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.39 : 800.66 = 290.17 : x
  2. Step 2: Convert to fraction form
    534.39/800.66 = 290.17/x
  3. Step 3: Cross multiply
    534.39x = 800.66 × 290.17
  4. Step 4: Simplify right side
    534.39x = 232,327.51
  5. Step 5: Solve for x
    x = 232,327.51/534.39
  6. Step 6: Final answer
    x = 434.75

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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.