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Finding the Fourth Proportional to 600.19, 899.77 and 235.24

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Solution

The fourth proportional to 600.19, 899.77 and 235.24 is: 352.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.19 : 899.77 = 235.24 : x
  2. Step 2: Convert to fraction form
    600.19/899.77 = 235.24/x
  3. Step 3: Cross multiply
    600.19x = 899.77 × 235.24
  4. Step 4: Simplify right side
    600.19x = 211,658.84
  5. Step 5: Solve for x
    x = 211,658.84/600.19
  6. Step 6: Final answer
    x = 352.65

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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.