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Finding the Fourth Proportional to 464.65, 697.41 and 353.07

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Solution

The fourth proportional to 464.65, 697.41 and 353.07 is: 529.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.65 : 697.41 = 353.07 : x
  2. Step 2: Convert to fraction form
    464.65/697.41 = 353.07/x
  3. Step 3: Cross multiply
    464.65x = 697.41 × 353.07
  4. Step 4: Simplify right side
    464.65x = 246,234.55
  5. Step 5: Solve for x
    x = 246,234.55/464.65
  6. Step 6: Final answer
    x = 529.94

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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.