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Finding the Fourth Proportional to 600.55, 900.34 and 253.66

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Solution

The fourth proportional to 600.55, 900.34 and 253.66 is: 380.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.55 : 900.34 = 253.66 : x
  2. Step 2: Convert to fraction form
    600.55/900.34 = 253.66/x
  3. Step 3: Cross multiply
    600.55x = 900.34 × 253.66
  4. Step 4: Simplify right side
    600.55x = 228,380.24
  5. Step 5: Solve for x
    x = 228,380.24/600.55
  6. Step 6: Final answer
    x = 380.29

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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.