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Finding the Fourth Proportional to 905.93, 1,358.74 and 289.46

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Solution

The fourth proportional to 905.93, 1,358.74 and 289.46 is: 434.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.93 : 1,358.74 = 289.46 : x
  2. Step 2: Convert to fraction form
    905.93/1,358.74 = 289.46/x
  3. Step 3: Cross multiply
    905.93x = 1,358.74 × 289.46
  4. Step 4: Simplify right side
    905.93x = 393,303.55
  5. Step 5: Solve for x
    x = 393,303.55/905.93
  6. Step 6: Final answer
    x = 434.15

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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.