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Finding the Fourth Proportional to 445.95, 615.38 and 259.43

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Solution

The fourth proportional to 445.95, 615.38 and 259.43 is: 357.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.95 : 615.38 = 259.43 : x
  2. Step 2: Convert to fraction form
    445.95/615.38 = 259.43/x
  3. Step 3: Cross multiply
    445.95x = 615.38 × 259.43
  4. Step 4: Simplify right side
    445.95x = 159,643.66
  5. Step 5: Solve for x
    x = 159,643.66/445.95
  6. Step 6: Final answer
    x = 357.99

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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.