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Finding the Fourth Proportional to 600.91, 828.54 and 435.07

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Solution

The fourth proportional to 600.91, 828.54 and 435.07 is: 599.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.91 : 828.54 = 435.07 : x
  2. Step 2: Convert to fraction form
    600.91/828.54 = 435.07/x
  3. Step 3: Cross multiply
    600.91x = 828.54 × 435.07
  4. Step 4: Simplify right side
    600.91x = 360,472.90
  5. Step 5: Solve for x
    x = 360,472.90/600.91
  6. Step 6: Final answer
    x = 599.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.