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Finding the Fourth Proportional to 328.84, 492.38 and 289.92

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Solution

The fourth proportional to 328.84, 492.38 and 289.92 is: 434.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.84 : 492.38 = 289.92 : x
  2. Step 2: Convert to fraction form
    328.84/492.38 = 289.92/x
  3. Step 3: Cross multiply
    328.84x = 492.38 × 289.92
  4. Step 4: Simplify right side
    328.84x = 142,749.07
  5. Step 5: Solve for x
    x = 142,749.07/328.84
  6. Step 6: Final answer
    x = 434.10

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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.