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Finding the Fourth Proportional to 857.03, 1,285.58 and 336.99

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Solution

The fourth proportional to 857.03, 1,285.58 and 336.99 is: 505.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.03 : 1,285.58 = 336.99 : x
  2. Step 2: Convert to fraction form
    857.03/1,285.58 = 336.99/x
  3. Step 3: Cross multiply
    857.03x = 1,285.58 × 336.99
  4. Step 4: Simplify right side
    857.03x = 433,221.18
  5. Step 5: Solve for x
    x = 433,221.18/857.03
  6. Step 6: Final answer
    x = 505.49

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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.