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Finding the Fourth Proportional to 466.36, 643.64 and 355.64

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Solution

The fourth proportional to 466.36, 643.64 and 355.64 is: 490.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.36 : 643.64 = 355.64 : x
  2. Step 2: Convert to fraction form
    466.36/643.64 = 355.64/x
  3. Step 3: Cross multiply
    466.36x = 643.64 × 355.64
  4. Step 4: Simplify right side
    466.36x = 228,899.13
  5. Step 5: Solve for x
    x = 228,899.13/466.36
  6. Step 6: Final answer
    x = 490.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.