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Finding the Fourth Proportional to 328.49, 492.71 and 97.38

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Solution

The fourth proportional to 328.49, 492.71 and 97.38 is: 146.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.49 : 492.71 = 97.38 : x
  2. Step 2: Convert to fraction form
    328.49/492.71 = 97.38/x
  3. Step 3: Cross multiply
    328.49x = 492.71 × 97.38
  4. Step 4: Simplify right side
    328.49x = 47,979.61
  5. Step 5: Solve for x
    x = 47,979.61/328.49
  6. Step 6: Final answer
    x = 146.06

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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.