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Finding the Fourth Proportional to 466.09, 642.80 and 355.37

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Solution

The fourth proportional to 466.09, 642.80 and 355.37 is: 490.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.09 : 642.80 = 355.37 : x
  2. Step 2: Convert to fraction form
    466.09/642.80 = 355.37/x
  3. Step 3: Cross multiply
    466.09x = 642.80 × 355.37
  4. Step 4: Simplify right side
    466.09x = 228,429.51
  5. Step 5: Solve for x
    x = 228,429.51/466.09
  6. Step 6: Final answer
    x = 490.10

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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.