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Finding the Fourth Proportional to 913.94, 1,370.47 and 289.16

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Solution

The fourth proportional to 913.94, 1,370.47 and 289.16 is: 433.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.94 : 1,370.47 = 289.16 : x
  2. Step 2: Convert to fraction form
    913.94/1,370.47 = 289.16/x
  3. Step 3: Cross multiply
    913.94x = 1,370.47 × 289.16
  4. Step 4: Simplify right side
    913.94x = 396,285.11
  5. Step 5: Solve for x
    x = 396,285.11/913.94
  6. Step 6: Final answer
    x = 433.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.