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Finding the Fourth Proportional to 594.70, 892.40 and 270.07

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Solution

The fourth proportional to 594.70, 892.40 and 270.07 is: 405.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.70 : 892.40 = 270.07 : x
  2. Step 2: Convert to fraction form
    594.70/892.40 = 270.07/x
  3. Step 3: Cross multiply
    594.70x = 892.40 × 270.07
  4. Step 4: Simplify right side
    594.70x = 241,008.91
  5. Step 5: Solve for x
    x = 241,008.91/594.70
  6. Step 6: Final answer
    x = 405.26

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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.