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Finding the Fourth Proportional to 466.28, 696.01 and 432.02

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Solution

The fourth proportional to 466.28, 696.01 and 432.02 is: 644.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.28 : 696.01 = 432.02 : x
  2. Step 2: Convert to fraction form
    466.28/696.01 = 432.02/x
  3. Step 3: Cross multiply
    466.28x = 696.01 × 432.02
  4. Step 4: Simplify right side
    466.28x = 300,690.24
  5. Step 5: Solve for x
    x = 300,690.24/466.28
  6. Step 6: Final answer
    x = 644.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.