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Finding the Fourth Proportional to 472.84, 709.34 and 229.48

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Solution

The fourth proportional to 472.84, 709.34 and 229.48 is: 344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.84 : 709.34 = 229.48 : x
  2. Step 2: Convert to fraction form
    472.84/709.34 = 229.48/x
  3. Step 3: Cross multiply
    472.84x = 709.34 × 229.48
  4. Step 4: Simplify right side
    472.84x = 162,779.34
  5. Step 5: Solve for x
    x = 162,779.34/472.84
  6. Step 6: Final answer
    x = 344.26

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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.