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Finding the Fourth Proportional to 473.70, 709.64 and 290.56

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Solution

The fourth proportional to 473.70, 709.64 and 290.56 is: 435.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.70 : 709.64 = 290.56 : x
  2. Step 2: Convert to fraction form
    473.70/709.64 = 290.56/x
  3. Step 3: Cross multiply
    473.70x = 709.64 × 290.56
  4. Step 4: Simplify right side
    473.70x = 206,193.00
  5. Step 5: Solve for x
    x = 206,193.00/473.70
  6. Step 6: Final answer
    x = 435.28

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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.