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Finding the Fourth Proportional to 607.32, 838.30 and 459.94

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Solution

The fourth proportional to 607.32, 838.30 and 459.94 is: 634.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.32 : 838.30 = 459.94 : x
  2. Step 2: Convert to fraction form
    607.32/838.30 = 459.94/x
  3. Step 3: Cross multiply
    607.32x = 838.30 × 459.94
  4. Step 4: Simplify right side
    607.32x = 385,567.70
  5. Step 5: Solve for x
    x = 385,567.70/607.32
  6. Step 6: Final answer
    x = 634.87

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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.