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Finding the Fourth Proportional to 607.07, 838.23 and 466.96

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Solution

The fourth proportional to 607.07, 838.23 and 466.96 is: 644.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.07 : 838.23 = 466.96 : x
  2. Step 2: Convert to fraction form
    607.07/838.23 = 466.96/x
  3. Step 3: Cross multiply
    607.07x = 838.23 × 466.96
  4. Step 4: Simplify right side
    607.07x = 391,419.88
  5. Step 5: Solve for x
    x = 391,419.88/607.07
  6. Step 6: Final answer
    x = 644.77

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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.