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Finding the Fourth Proportional to 466.53, 643.38 and 361.45

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Solution

The fourth proportional to 466.53, 643.38 and 361.45 is: 498.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.53 : 643.38 = 361.45 : x
  2. Step 2: Convert to fraction form
    466.53/643.38 = 361.45/x
  3. Step 3: Cross multiply
    466.53x = 643.38 × 361.45
  4. Step 4: Simplify right side
    466.53x = 232,549.70
  5. Step 5: Solve for x
    x = 232,549.70/466.53
  6. Step 6: Final answer
    x = 498.47

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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.