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Finding the Fourth Proportional to 600.21, 899.64 and 368.82

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Solution

The fourth proportional to 600.21, 899.64 and 368.82 is: 552.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.21 : 899.64 = 368.82 : x
  2. Step 2: Convert to fraction form
    600.21/899.64 = 368.82/x
  3. Step 3: Cross multiply
    600.21x = 899.64 × 368.82
  4. Step 4: Simplify right side
    600.21x = 331,805.22
  5. Step 5: Solve for x
    x = 331,805.22/600.21
  6. Step 6: Final answer
    x = 552.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.