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Finding the Fourth Proportional to 374.84, 562.32 and 201.62

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Solution

The fourth proportional to 374.84, 562.32 and 201.62 is: 302.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.84 : 562.32 = 201.62 : x
  2. Step 2: Convert to fraction form
    374.84/562.32 = 201.62/x
  3. Step 3: Cross multiply
    374.84x = 562.32 × 201.62
  4. Step 4: Simplify right side
    374.84x = 113,374.96
  5. Step 5: Solve for x
    x = 113,374.96/374.84
  6. Step 6: Final answer
    x = 302.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.