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Finding the Fourth Proportional to 443.61, 612.08 and 355.28

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Solution

The fourth proportional to 443.61, 612.08 and 355.28 is: 490.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.61 : 612.08 = 355.28 : x
  2. Step 2: Convert to fraction form
    443.61/612.08 = 355.28/x
  3. Step 3: Cross multiply
    443.61x = 612.08 × 355.28
  4. Step 4: Simplify right side
    443.61x = 217,454.95
  5. Step 5: Solve for x
    x = 217,454.95/443.61
  6. Step 6: Final answer
    x = 490.19

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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.