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Finding the Fourth Proportional to 418.32, 628.20 and 384.56

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Solution

The fourth proportional to 418.32, 628.20 and 384.56 is: 577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.32 : 628.20 = 384.56 : x
  2. Step 2: Convert to fraction form
    418.32/628.20 = 384.56/x
  3. Step 3: Cross multiply
    418.32x = 628.20 × 384.56
  4. Step 4: Simplify right side
    418.32x = 241,580.59
  5. Step 5: Solve for x
    x = 241,580.59/418.32
  6. Step 6: Final answer
    x = 577.50

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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.