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Finding the Fourth Proportional to 902.58, 1,353.75 and 355.15

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Solution

The fourth proportional to 902.58, 1,353.75 and 355.15 is: 532.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.58 : 1,353.75 = 355.15 : x
  2. Step 2: Convert to fraction form
    902.58/1,353.75 = 355.15/x
  3. Step 3: Cross multiply
    902.58x = 1,353.75 × 355.15
  4. Step 4: Simplify right side
    902.58x = 480,777.54
  5. Step 5: Solve for x
    x = 480,777.54/902.58
  6. Step 6: Final answer
    x = 532.67

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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.