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Finding the Fourth Proportional to 435.16, 600.55 and 285.88

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Solution

The fourth proportional to 435.16, 600.55 and 285.88 is: 394.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.16 : 600.55 = 285.88 : x
  2. Step 2: Convert to fraction form
    435.16/600.55 = 285.88/x
  3. Step 3: Cross multiply
    435.16x = 600.55 × 285.88
  4. Step 4: Simplify right side
    435.16x = 171,685.23
  5. Step 5: Solve for x
    x = 171,685.23/435.16
  6. Step 6: Final answer
    x = 394.53

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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.