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Finding the Fourth Proportional to 466.36, 643.35 and 362.14

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Solution

The fourth proportional to 466.36, 643.35 and 362.14 is: 499.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.36 : 643.35 = 362.14 : x
  2. Step 2: Convert to fraction form
    466.36/643.35 = 362.14/x
  3. Step 3: Cross multiply
    466.36x = 643.35 × 362.14
  4. Step 4: Simplify right side
    466.36x = 232,982.77
  5. Step 5: Solve for x
    x = 232,982.77/466.36
  6. Step 6: Final answer
    x = 499.58

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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.