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Finding the Fourth Proportional to 384.22, 575.83 and 335.89

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Solution

The fourth proportional to 384.22, 575.83 and 335.89 is: 503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.22 : 575.83 = 335.89 : x
  2. Step 2: Convert to fraction form
    384.22/575.83 = 335.89/x
  3. Step 3: Cross multiply
    384.22x = 575.83 × 335.89
  4. Step 4: Simplify right side
    384.22x = 193,415.54
  5. Step 5: Solve for x
    x = 193,415.54/384.22
  6. Step 6: Final answer
    x = 503.40

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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.