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Finding the Fourth Proportional to 464.71, 697.15 and 233.65

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Solution

The fourth proportional to 464.71, 697.15 and 233.65 is: 350.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.71 : 697.15 = 233.65 : x
  2. Step 2: Convert to fraction form
    464.71/697.15 = 233.65/x
  3. Step 3: Cross multiply
    464.71x = 697.15 × 233.65
  4. Step 4: Simplify right side
    464.71x = 162,885.61
  5. Step 5: Solve for x
    x = 162,885.61/464.71
  6. Step 6: Final answer
    x = 350.51

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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.