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Finding the Fourth Proportional to 466, 642.80 and 355.36

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Solution

The fourth proportional to 466, 642.80 and 355.36 is: 490.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    466 : 642.80 = 355.36 : x
  2. Step 2: Convert to fraction form
    466/642.80 = 355.36/x
  3. Step 3: Cross multiply
    466x = 642.80 × 355.36
  4. Step 4: Simplify right side
    466x = 228,425.41
  5. Step 5: Solve for x
    x = 228,425.41/466
  6. Step 6: Final answer
    x = 490.18

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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.