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Finding the Fourth Proportional to 497.95, 687.23 and 301.46

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Solution

The fourth proportional to 497.95, 687.23 and 301.46 is: 416.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.95 : 687.23 = 301.46 : x
  2. Step 2: Convert to fraction form
    497.95/687.23 = 301.46/x
  3. Step 3: Cross multiply
    497.95x = 687.23 × 301.46
  4. Step 4: Simplify right side
    497.95x = 207,172.36
  5. Step 5: Solve for x
    x = 207,172.36/497.95
  6. Step 6: Final answer
    x = 416.05

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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.