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Finding the Fourth Proportional to 466.04, 642.84 and 355.28

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Solution

The fourth proportional to 466.04, 642.84 and 355.28 is: 490.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.04 : 642.84 = 355.28 : x
  2. Step 2: Convert to fraction form
    466.04/642.84 = 355.28/x
  3. Step 3: Cross multiply
    466.04x = 642.84 × 355.28
  4. Step 4: Simplify right side
    466.04x = 228,388.20
  5. Step 5: Solve for x
    x = 228,388.20/466.04
  6. Step 6: Final answer
    x = 490.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.