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Finding the Fourth Proportional to 600.84, 828.57 and 364.82

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Solution

The fourth proportional to 600.84, 828.57 and 364.82 is: 503.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.84 : 828.57 = 364.82 : x
  2. Step 2: Convert to fraction form
    600.84/828.57 = 364.82/x
  3. Step 3: Cross multiply
    600.84x = 828.57 × 364.82
  4. Step 4: Simplify right side
    600.84x = 302,280.98
  5. Step 5: Solve for x
    x = 302,280.98/600.84
  6. Step 6: Final answer
    x = 503.10

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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.