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Finding the Fourth Proportional to 600.96, 829.32 and 364.98

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Solution

The fourth proportional to 600.96, 829.32 and 364.98 is: 503.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.96 : 829.32 = 364.98 : x
  2. Step 2: Convert to fraction form
    600.96/829.32 = 364.98/x
  3. Step 3: Cross multiply
    600.96x = 829.32 × 364.98
  4. Step 4: Simplify right side
    600.96x = 302,685.21
  5. Step 5: Solve for x
    x = 302,685.21/600.96
  6. Step 6: Final answer
    x = 503.67

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Why These Related Problems?

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