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Finding the Fourth Proportional to 374.74, 562.20 and 201.58

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Solution

The fourth proportional to 374.74, 562.20 and 201.58 is: 302.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.74 : 562.20 = 201.58 : x
  2. Step 2: Convert to fraction form
    374.74/562.20 = 201.58/x
  3. Step 3: Cross multiply
    374.74x = 562.20 × 201.58
  4. Step 4: Simplify right side
    374.74x = 113,328.28
  5. Step 5: Solve for x
    x = 113,328.28/374.74
  6. Step 6: Final answer
    x = 302.42

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Why These Related Problems?

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