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Finding the Fourth Proportional to 434.95, 600.45 and 285.64

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Solution

The fourth proportional to 434.95, 600.45 and 285.64 is: 394.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.95 : 600.45 = 285.64 : x
  2. Step 2: Convert to fraction form
    434.95/600.45 = 285.64/x
  3. Step 3: Cross multiply
    434.95x = 600.45 × 285.64
  4. Step 4: Simplify right side
    434.95x = 171,512.54
  5. Step 5: Solve for x
    x = 171,512.54/434.95
  6. Step 6: Final answer
    x = 394.33

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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.