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Finding the Fourth Proportional to 333.62, 497.95 and 325.42

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Solution

The fourth proportional to 333.62, 497.95 and 325.42 is: 485.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.62 : 497.95 = 325.42 : x
  2. Step 2: Convert to fraction form
    333.62/497.95 = 325.42/x
  3. Step 3: Cross multiply
    333.62x = 497.95 × 325.42
  4. Step 4: Simplify right side
    333.62x = 162,040.83
  5. Step 5: Solve for x
    x = 162,040.83/333.62
  6. Step 6: Final answer
    x = 485.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.