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Finding the Fourth Proportional to 643.24, 888.06 and 410.50

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Solution

The fourth proportional to 643.24, 888.06 and 410.50 is: 566.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.24 : 888.06 = 410.50 : x
  2. Step 2: Convert to fraction form
    643.24/888.06 = 410.50/x
  3. Step 3: Cross multiply
    643.24x = 888.06 × 410.50
  4. Step 4: Simplify right side
    643.24x = 364,548.63
  5. Step 5: Solve for x
    x = 364,548.63/643.24
  6. Step 6: Final answer
    x = 566.74

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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.