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Finding the Fourth Proportional to 949.46, 1,424.18 and 291.33

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Solution

The fourth proportional to 949.46, 1,424.18 and 291.33 is: 437.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.46 : 1,424.18 = 291.33 : x
  2. Step 2: Convert to fraction form
    949.46/1,424.18 = 291.33/x
  3. Step 3: Cross multiply
    949.46x = 1,424.18 × 291.33
  4. Step 4: Simplify right side
    949.46x = 414,907.09
  5. Step 5: Solve for x
    x = 414,907.09/949.46
  6. Step 6: Final answer
    x = 437.00

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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.