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Finding the Fourth Proportional to 600.11, 900.32 and 340.30

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Solution

The fourth proportional to 600.11, 900.32 and 340.30 is: 510.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.11 : 900.32 = 340.30 : x
  2. Step 2: Convert to fraction form
    600.11/900.32 = 340.30/x
  3. Step 3: Cross multiply
    600.11x = 900.32 × 340.30
  4. Step 4: Simplify right side
    600.11x = 306,378.32
  5. Step 5: Solve for x
    x = 306,378.32/600.11
  6. Step 6: Final answer
    x = 510.54

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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.