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Finding the Fourth Proportional to 374.04, 559.85 and 297.09

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Solution

The fourth proportional to 374.04, 559.85 and 297.09 is: 444.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.04 : 559.85 = 297.09 : x
  2. Step 2: Convert to fraction form
    374.04/559.85 = 297.09/x
  3. Step 3: Cross multiply
    374.04x = 559.85 × 297.09
  4. Step 4: Simplify right side
    374.04x = 166,324.35
  5. Step 5: Solve for x
    x = 166,324.35/374.04
  6. Step 6: Final answer
    x = 444.67

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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.