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Finding the Fourth Proportional to 607.53, 838.17 and 386.58

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Solution

The fourth proportional to 607.53, 838.17 and 386.58 is: 533.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.53 : 838.17 = 386.58 : x
  2. Step 2: Convert to fraction form
    607.53/838.17 = 386.58/x
  3. Step 3: Cross multiply
    607.53x = 838.17 × 386.58
  4. Step 4: Simplify right side
    607.53x = 324,019.76
  5. Step 5: Solve for x
    x = 324,019.76/607.53
  6. Step 6: Final answer
    x = 533.34

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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.