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Finding the Fourth Proportional to 466.55, 699.52 and 235.70

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Solution

The fourth proportional to 466.55, 699.52 and 235.70 is: 353.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.55 : 699.52 = 235.70 : x
  2. Step 2: Convert to fraction form
    466.55/699.52 = 235.70/x
  3. Step 3: Cross multiply
    466.55x = 699.52 × 235.70
  4. Step 4: Simplify right side
    466.55x = 164,876.86
  5. Step 5: Solve for x
    x = 164,876.86/466.55
  6. Step 6: Final answer
    x = 353.40

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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.