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Finding the Fourth Proportional to 600.04, 899.46 and 253.46

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Solution

The fourth proportional to 600.04, 899.46 and 253.46 is: 379.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.04 : 899.46 = 253.46 : x
  2. Step 2: Convert to fraction form
    600.04/899.46 = 253.46/x
  3. Step 3: Cross multiply
    600.04x = 899.46 × 253.46
  4. Step 4: Simplify right side
    600.04x = 227,977.13
  5. Step 5: Solve for x
    x = 227,977.13/600.04
  6. Step 6: Final answer
    x = 379.94

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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.