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Finding the Fourth Proportional to 600.63, 901.30 and 258.63

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Solution

The fourth proportional to 600.63, 901.30 and 258.63 is: 388.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.63 : 901.30 = 258.63 : x
  2. Step 2: Convert to fraction form
    600.63/901.30 = 258.63/x
  3. Step 3: Cross multiply
    600.63x = 901.30 × 258.63
  4. Step 4: Simplify right side
    600.63x = 233,103.22
  5. Step 5: Solve for x
    x = 233,103.22/600.63
  6. Step 6: Final answer
    x = 388.10

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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.