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Finding the Fourth Proportional to 607.33, 838.12 and 345.35

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Solution

The fourth proportional to 607.33, 838.12 and 345.35 is: 476.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.33 : 838.12 = 345.35 : x
  2. Step 2: Convert to fraction form
    607.33/838.12 = 345.35/x
  3. Step 3: Cross multiply
    607.33x = 838.12 × 345.35
  4. Step 4: Simplify right side
    607.33x = 289,441.41
  5. Step 5: Solve for x
    x = 289,441.41/607.33
  6. Step 6: Final answer
    x = 476.58

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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.