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Finding the Fourth Proportional to 357.96, 537.75 and 289.92

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Solution

The fourth proportional to 357.96, 537.75 and 289.92 is: 435.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.96 : 537.75 = 289.92 : x
  2. Step 2: Convert to fraction form
    357.96/537.75 = 289.92/x
  3. Step 3: Cross multiply
    357.96x = 537.75 × 289.92
  4. Step 4: Simplify right side
    357.96x = 155,904.48
  5. Step 5: Solve for x
    x = 155,904.48/357.96
  6. Step 6: Final answer
    x = 435.54

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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.