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Finding the Fourth Proportional to 464.67, 697.85 and 395.61

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Solution

The fourth proportional to 464.67, 697.85 and 395.61 is: 594.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.67 : 697.85 = 395.61 : x
  2. Step 2: Convert to fraction form
    464.67/697.85 = 395.61/x
  3. Step 3: Cross multiply
    464.67x = 697.85 × 395.61
  4. Step 4: Simplify right side
    464.67x = 276,074.46
  5. Step 5: Solve for x
    x = 276,074.46/464.67
  6. Step 6: Final answer
    x = 594.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.