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Finding the Fourth Proportional to 383.04, 573.84 and 298.08

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Solution

The fourth proportional to 383.04, 573.84 and 298.08 is: 446.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.04 : 573.84 = 298.08 : x
  2. Step 2: Convert to fraction form
    383.04/573.84 = 298.08/x
  3. Step 3: Cross multiply
    383.04x = 573.84 × 298.08
  4. Step 4: Simplify right side
    383.04x = 171,050.23
  5. Step 5: Solve for x
    x = 171,050.23/383.04
  6. Step 6: Final answer
    x = 446.56

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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.