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Finding the Fourth Proportional to 600.52, 900.91 and 253.86

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Solution

The fourth proportional to 600.52, 900.91 and 253.86 is: 380.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.52 : 900.91 = 253.86 : x
  2. Step 2: Convert to fraction form
    600.52/900.91 = 253.86/x
  3. Step 3: Cross multiply
    600.52x = 900.91 × 253.86
  4. Step 4: Simplify right side
    600.52x = 228,699.24
  5. Step 5: Solve for x
    x = 228,699.24/600.52
  6. Step 6: Final answer
    x = 380.84

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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.