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Finding the Fourth Proportional to 357.92, 536.96 and 289.88

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Solution

The fourth proportional to 357.92, 536.96 and 289.88 is: 434.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.92 : 536.96 = 289.88 : x
  2. Step 2: Convert to fraction form
    357.92/536.96 = 289.88/x
  3. Step 3: Cross multiply
    357.92x = 536.96 × 289.88
  4. Step 4: Simplify right side
    357.92x = 155,653.96
  5. Step 5: Solve for x
    x = 155,653.96/357.92
  6. Step 6: Final answer
    x = 434.88

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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.