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Finding the Fourth Proportional to 913.66, 1,370.69 and 264.34

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Solution

The fourth proportional to 913.66, 1,370.69 and 264.34 is: 396.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.66 : 1,370.69 = 264.34 : x
  2. Step 2: Convert to fraction form
    913.66/1,370.69 = 264.34/x
  3. Step 3: Cross multiply
    913.66x = 1,370.69 × 264.34
  4. Step 4: Simplify right side
    913.66x = 362,328.19
  5. Step 5: Solve for x
    x = 362,328.19/913.66
  6. Step 6: Final answer
    x = 396.57

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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.