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Finding the Fourth Proportional to 949.23, 1,423.83 and 291.11

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Solution

The fourth proportional to 949.23, 1,423.83 and 291.11 is: 436.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.23 : 1,423.83 = 291.11 : x
  2. Step 2: Convert to fraction form
    949.23/1,423.83 = 291.11/x
  3. Step 3: Cross multiply
    949.23x = 1,423.83 × 291.11
  4. Step 4: Simplify right side
    949.23x = 414,484.03
  5. Step 5: Solve for x
    x = 414,484.03/949.23
  6. Step 6: Final answer
    x = 436.65

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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.