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Finding the Fourth Proportional to 600.62, 828.36 and 424.18

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Solution

The fourth proportional to 600.62, 828.36 and 424.18 is: 585.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.62 : 828.36 = 424.18 : x
  2. Step 2: Convert to fraction form
    600.62/828.36 = 424.18/x
  3. Step 3: Cross multiply
    600.62x = 828.36 × 424.18
  4. Step 4: Simplify right side
    600.62x = 351,373.74
  5. Step 5: Solve for x
    x = 351,373.74/600.62
  6. Step 6: Final answer
    x = 585.02

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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.