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Finding the Fourth Proportional to 466.20, 697.86 and 437.40

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Solution

The fourth proportional to 466.20, 697.86 and 437.40 is: 654.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.20 : 697.86 = 437.40 : x
  2. Step 2: Convert to fraction form
    466.20/697.86 = 437.40/x
  3. Step 3: Cross multiply
    466.20x = 697.86 × 437.40
  4. Step 4: Simplify right side
    466.20x = 305,243.96
  5. Step 5: Solve for x
    x = 305,243.96/466.20
  6. Step 6: Final answer
    x = 654.75

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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.