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Finding the Fourth Proportional to 607.68, 838.49 and 359.01

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Solution

The fourth proportional to 607.68, 838.49 and 359.01 is: 495.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.68 : 838.49 = 359.01 : x
  2. Step 2: Convert to fraction form
    607.68/838.49 = 359.01/x
  3. Step 3: Cross multiply
    607.68x = 838.49 × 359.01
  4. Step 4: Simplify right side
    607.68x = 301,024.50
  5. Step 5: Solve for x
    x = 301,024.50/607.68
  6. Step 6: Final answer
    x = 495.37

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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.