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Finding the Fourth Proportional to 465.02, 697.14 and 233.63

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Solution

The fourth proportional to 465.02, 697.14 and 233.63 is: 350.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.02 : 697.14 = 233.63 : x
  2. Step 2: Convert to fraction form
    465.02/697.14 = 233.63/x
  3. Step 3: Cross multiply
    465.02x = 697.14 × 233.63
  4. Step 4: Simplify right side
    465.02x = 162,872.82
  5. Step 5: Solve for x
    x = 162,872.82/465.02
  6. Step 6: Final answer
    x = 350.25

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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.