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Finding the Fourth Proportional to 473.42, 708.74 and 290.24

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Solution

The fourth proportional to 473.42, 708.74 and 290.24 is: 434.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.42 : 708.74 = 290.24 : x
  2. Step 2: Convert to fraction form
    473.42/708.74 = 290.24/x
  3. Step 3: Cross multiply
    473.42x = 708.74 × 290.24
  4. Step 4: Simplify right side
    473.42x = 205,704.70
  5. Step 5: Solve for x
    x = 205,704.70/473.42
  6. Step 6: Final answer
    x = 434.51

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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.