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Finding the Fourth Proportional to 472.74, 709.56 and 290.49

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Solution

The fourth proportional to 472.74, 709.56 and 290.49 is: 436.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.74 : 709.56 = 290.49 : x
  2. Step 2: Convert to fraction form
    472.74/709.56 = 290.49/x
  3. Step 3: Cross multiply
    472.74x = 709.56 × 290.49
  4. Step 4: Simplify right side
    472.74x = 206,120.08
  5. Step 5: Solve for x
    x = 206,120.08/472.74
  6. Step 6: Final answer
    x = 436.01

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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.