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Finding the Fourth Proportional to 607.84, 838.47 and 386.44

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Solution

The fourth proportional to 607.84, 838.47 and 386.44 is: 533.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.84 : 838.47 = 386.44 : x
  2. Step 2: Convert to fraction form
    607.84/838.47 = 386.44/x
  3. Step 3: Cross multiply
    607.84x = 838.47 × 386.44
  4. Step 4: Simplify right side
    607.84x = 324,018.35
  5. Step 5: Solve for x
    x = 324,018.35/607.84
  6. Step 6: Final answer
    x = 533.07

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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.