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Finding the Fourth Proportional to 912.59, 1,368.70 and 296.14

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Solution

The fourth proportional to 912.59, 1,368.70 and 296.14 is: 444.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.59 : 1,368.70 = 296.14 : x
  2. Step 2: Convert to fraction form
    912.59/1,368.70 = 296.14/x
  3. Step 3: Cross multiply
    912.59x = 1,368.70 × 296.14
  4. Step 4: Simplify right side
    912.59x = 405,326.82
  5. Step 5: Solve for x
    x = 405,326.82/912.59
  6. Step 6: Final answer
    x = 444.15

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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.