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Finding the Fourth Proportional to 548.96, 824.16 and 289.16

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Solution

The fourth proportional to 548.96, 824.16 and 289.16 is: 434.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.96 : 824.16 = 289.16 : x
  2. Step 2: Convert to fraction form
    548.96/824.16 = 289.16/x
  3. Step 3: Cross multiply
    548.96x = 824.16 × 289.16
  4. Step 4: Simplify right side
    548.96x = 238,314.11
  5. Step 5: Solve for x
    x = 238,314.11/548.96
  6. Step 6: Final answer
    x = 434.12

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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.