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Finding the Fourth Proportional to 437.86, 604.39 and 290.46

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Solution

The fourth proportional to 437.86, 604.39 and 290.46 is: 400.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.86 : 604.39 = 290.46 : x
  2. Step 2: Convert to fraction form
    437.86/604.39 = 290.46/x
  3. Step 3: Cross multiply
    437.86x = 604.39 × 290.46
  4. Step 4: Simplify right side
    437.86x = 175,550.69
  5. Step 5: Solve for x
    x = 175,550.69/437.86
  6. Step 6: Final answer
    x = 400.93

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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.