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Finding the Fourth Proportional to 332.42, 497.41 and 324.32

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Solution

The fourth proportional to 332.42, 497.41 and 324.32 is: 485.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.42 : 497.41 = 324.32 : x
  2. Step 2: Convert to fraction form
    332.42/497.41 = 324.32/x
  3. Step 3: Cross multiply
    332.42x = 497.41 × 324.32
  4. Step 4: Simplify right side
    332.42x = 161,316.71
  5. Step 5: Solve for x
    x = 161,316.71/332.42
  6. Step 6: Final answer
    x = 485.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.