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Finding the Fourth Proportional to 643.16, 887.64 and 466.10

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Solution

The fourth proportional to 643.16, 887.64 and 466.10 is: 643.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.16 : 887.64 = 466.10 : x
  2. Step 2: Convert to fraction form
    643.16/887.64 = 466.10/x
  3. Step 3: Cross multiply
    643.16x = 887.64 × 466.10
  4. Step 4: Simplify right side
    643.16x = 413,729.00
  5. Step 5: Solve for x
    x = 413,729.00/643.16
  6. Step 6: Final answer
    x = 643.28

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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.