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Finding the Fourth Proportional to 374.56, 561.38 and 282.96

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Solution

The fourth proportional to 374.56, 561.38 and 282.96 is: 424.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.56 : 561.38 = 282.96 : x
  2. Step 2: Convert to fraction form
    374.56/561.38 = 282.96/x
  3. Step 3: Cross multiply
    374.56x = 561.38 × 282.96
  4. Step 4: Simplify right side
    374.56x = 158,848.08
  5. Step 5: Solve for x
    x = 158,848.08/374.56
  6. Step 6: Final answer
    x = 424.09

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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.