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Finding the Fourth Proportional to 600.95, 829.02 and 364.75

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Solution

The fourth proportional to 600.95, 829.02 and 364.75 is: 503.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.95 : 829.02 = 364.75 : x
  2. Step 2: Convert to fraction form
    600.95/829.02 = 364.75/x
  3. Step 3: Cross multiply
    600.95x = 829.02 × 364.75
  4. Step 4: Simplify right side
    600.95x = 302,385.05
  5. Step 5: Solve for x
    x = 302,385.05/600.95
  6. Step 6: Final answer
    x = 503.18

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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.