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Finding the Fourth Proportional to 466.55, 699.87 and 235.24

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Solution

The fourth proportional to 466.55, 699.87 and 235.24 is: 352.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.55 : 699.87 = 235.24 : x
  2. Step 2: Convert to fraction form
    466.55/699.87 = 235.24/x
  3. Step 3: Cross multiply
    466.55x = 699.87 × 235.24
  4. Step 4: Simplify right side
    466.55x = 164,637.42
  5. Step 5: Solve for x
    x = 164,637.42/466.55
  6. Step 6: Final answer
    x = 352.88

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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.