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Finding the Fourth Proportional to 472.18, 651.42 and 297.46

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Solution

The fourth proportional to 472.18, 651.42 and 297.46 is: 410.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.18 : 651.42 = 297.46 : x
  2. Step 2: Convert to fraction form
    472.18/651.42 = 297.46/x
  3. Step 3: Cross multiply
    472.18x = 651.42 × 297.46
  4. Step 4: Simplify right side
    472.18x = 193,771.39
  5. Step 5: Solve for x
    x = 193,771.39/472.18
  6. Step 6: Final answer
    x = 410.38

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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.