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Finding the Fourth Proportional to 441.23, 607.95 and 316.49

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Solution

The fourth proportional to 441.23, 607.95 and 316.49 is: 436.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.23 : 607.95 = 316.49 : x
  2. Step 2: Convert to fraction form
    441.23/607.95 = 316.49/x
  3. Step 3: Cross multiply
    441.23x = 607.95 × 316.49
  4. Step 4: Simplify right side
    441.23x = 192,407.06
  5. Step 5: Solve for x
    x = 192,407.06/441.23
  6. Step 6: Final answer
    x = 436.07

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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.