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Finding the Fourth Proportional to 600.83, 900.68 and 292.32

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Solution

The fourth proportional to 600.83, 900.68 and 292.32 is: 438.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.83 : 900.68 = 292.32 : x
  2. Step 2: Convert to fraction form
    600.83/900.68 = 292.32/x
  3. Step 3: Cross multiply
    600.83x = 900.68 × 292.32
  4. Step 4: Simplify right side
    600.83x = 263,285.32
  5. Step 5: Solve for x
    x = 263,285.32/600.83
  6. Step 6: Final answer
    x = 438.21

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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.