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Finding the Fourth Proportional to 374.30, 561.02 and 282.70

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Solution

The fourth proportional to 374.30, 561.02 and 282.70 is: 423.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.30 : 561.02 = 282.70 : x
  2. Step 2: Convert to fraction form
    374.30/561.02 = 282.70/x
  3. Step 3: Cross multiply
    374.30x = 561.02 × 282.70
  4. Step 4: Simplify right side
    374.30x = 158,600.35
  5. Step 5: Solve for x
    x = 158,600.35/374.30
  6. Step 6: Final answer
    x = 423.73

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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.