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Finding the Fourth Proportional to 902.99, 1,355.05 and 355.16

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Solution

The fourth proportional to 902.99, 1,355.05 and 355.16 is: 532.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.99 : 1,355.05 = 355.16 : x
  2. Step 2: Convert to fraction form
    902.99/1,355.05 = 355.16/x
  3. Step 3: Cross multiply
    902.99x = 1,355.05 × 355.16
  4. Step 4: Simplify right side
    902.99x = 481,255.77
  5. Step 5: Solve for x
    x = 481,255.77/902.99
  6. Step 6: Final answer
    x = 532.96

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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.