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Finding the Fourth Proportional to 600.81, 828.55 and 414.01

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Solution

The fourth proportional to 600.81, 828.55 and 414.01 is: 570.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.81 : 828.55 = 414.01 : x
  2. Step 2: Convert to fraction form
    600.81/828.55 = 414.01/x
  3. Step 3: Cross multiply
    600.81x = 828.55 × 414.01
  4. Step 4: Simplify right side
    600.81x = 343,021.77
  5. Step 5: Solve for x
    x = 343,021.77/600.81
  6. Step 6: Final answer
    x = 570.93

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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.