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Finding the Fourth Proportional to 912.34, 1,368.71 and 295.93

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Solution

The fourth proportional to 912.34, 1,368.71 and 295.93 is: 443.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.34 : 1,368.71 = 295.93 : x
  2. Step 2: Convert to fraction form
    912.34/1,368.71 = 295.93/x
  3. Step 3: Cross multiply
    912.34x = 1,368.71 × 295.93
  4. Step 4: Simplify right side
    912.34x = 405,043.09
  5. Step 5: Solve for x
    x = 405,043.09/912.34
  6. Step 6: Final answer
    x = 443.96

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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.