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Finding the Fourth Proportional to 607.47, 838.02 and 410.94

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Solution

The fourth proportional to 607.47, 838.02 and 410.94 is: 566.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.47 : 838.02 = 410.94 : x
  2. Step 2: Convert to fraction form
    607.47/838.02 = 410.94/x
  3. Step 3: Cross multiply
    607.47x = 838.02 × 410.94
  4. Step 4: Simplify right side
    607.47x = 344,375.94
  5. Step 5: Solve for x
    x = 344,375.94/607.47
  6. Step 6: Final answer
    x = 566.90

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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.