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Finding the Fourth Proportional to 472.09, 652.10 and 393.66

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Solution

The fourth proportional to 472.09, 652.10 and 393.66 is: 543.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.09 : 652.10 = 393.66 : x
  2. Step 2: Convert to fraction form
    472.09/652.10 = 393.66/x
  3. Step 3: Cross multiply
    472.09x = 652.10 × 393.66
  4. Step 4: Simplify right side
    472.09x = 256,705.69
  5. Step 5: Solve for x
    x = 256,705.69/472.09
  6. Step 6: Final answer
    x = 543.76

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