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Finding the Fourth Proportional to 905.96, 1,358.34 and 473.42

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Solution

The fourth proportional to 905.96, 1,358.34 and 473.42 is: 709.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.96 : 1,358.34 = 473.42 : x
  2. Step 2: Convert to fraction form
    905.96/1,358.34 = 473.42/x
  3. Step 3: Cross multiply
    905.96x = 1,358.34 × 473.42
  4. Step 4: Simplify right side
    905.96x = 643,065.32
  5. Step 5: Solve for x
    x = 643,065.32/905.96
  6. Step 6: Final answer
    x = 709.82

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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.