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Finding the Fourth Proportional to 374.62, 561.86 and 253.66

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Solution

The fourth proportional to 374.62, 561.86 and 253.66 is: 380.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.62 : 561.86 = 253.66 : x
  2. Step 2: Convert to fraction form
    374.62/561.86 = 253.66/x
  3. Step 3: Cross multiply
    374.62x = 561.86 × 253.66
  4. Step 4: Simplify right side
    374.62x = 142,521.41
  5. Step 5: Solve for x
    x = 142,521.41/374.62
  6. Step 6: Final answer
    x = 380.44

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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.