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Finding the Fourth Proportional to 600.21, 827.46 and 434.13

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Solution

The fourth proportional to 600.21, 827.46 and 434.13 is: 598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.21 : 827.46 = 434.13 : x
  2. Step 2: Convert to fraction form
    600.21/827.46 = 434.13/x
  3. Step 3: Cross multiply
    600.21x = 827.46 × 434.13
  4. Step 4: Simplify right side
    600.21x = 359,225.21
  5. Step 5: Solve for x
    x = 359,225.21/600.21
  6. Step 6: Final answer
    x = 598.50

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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.