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Finding the Fourth Proportional to 472.26, 651.77 and 295.35

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Solution

The fourth proportional to 472.26, 651.77 and 295.35 is: 407.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.26 : 651.77 = 295.35 : x
  2. Step 2: Convert to fraction form
    472.26/651.77 = 295.35/x
  3. Step 3: Cross multiply
    472.26x = 651.77 × 295.35
  4. Step 4: Simplify right side
    472.26x = 192,500.27
  5. Step 5: Solve for x
    x = 192,500.27/472.26
  6. Step 6: Final answer
    x = 407.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.