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Finding the Fourth Proportional to 465.52, 697.89 and 234.13

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Solution

The fourth proportional to 465.52, 697.89 and 234.13 is: 351.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.52 : 697.89 = 234.13 : x
  2. Step 2: Convert to fraction form
    465.52/697.89 = 234.13/x
  3. Step 3: Cross multiply
    465.52x = 697.89 × 234.13
  4. Step 4: Simplify right side
    465.52x = 163,396.99
  5. Step 5: Solve for x
    x = 163,396.99/465.52
  6. Step 6: Final answer
    x = 351.00

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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.