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Finding the Fourth Proportional to 472.74, 652.70 and 295.77

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Solution

The fourth proportional to 472.74, 652.70 and 295.77 is: 408.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.74 : 652.70 = 295.77 : x
  2. Step 2: Convert to fraction form
    472.74/652.70 = 295.77/x
  3. Step 3: Cross multiply
    472.74x = 652.70 × 295.77
  4. Step 4: Simplify right side
    472.74x = 193,044.34
  5. Step 5: Solve for x
    x = 193,044.34/472.74
  6. Step 6: Final answer
    x = 408.36

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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.