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Finding the Fourth Proportional to 607.59, 838.28 and 355.48

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Solution

The fourth proportional to 607.59, 838.28 and 355.48 is: 490.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.59 : 838.28 = 355.48 : x
  2. Step 2: Convert to fraction form
    607.59/838.28 = 355.48/x
  3. Step 3: Cross multiply
    607.59x = 838.28 × 355.48
  4. Step 4: Simplify right side
    607.59x = 297,990.57
  5. Step 5: Solve for x
    x = 297,990.57/607.59
  6. Step 6: Final answer
    x = 490.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.