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Finding the Fourth Proportional to 472.73, 706.18 and 341.61

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Solution

The fourth proportional to 472.73, 706.18 and 341.61 is: 510.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.73 : 706.18 = 341.61 : x
  2. Step 2: Convert to fraction form
    472.73/706.18 = 341.61/x
  3. Step 3: Cross multiply
    472.73x = 706.18 × 341.61
  4. Step 4: Simplify right side
    472.73x = 241,232.91
  5. Step 5: Solve for x
    x = 241,232.91/472.73
  6. Step 6: Final answer
    x = 510.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.