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Finding the Fourth Proportional to 607.69, 838.67 and 345.75

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Solution

The fourth proportional to 607.69, 838.67 and 345.75 is: 477.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.69 : 838.67 = 345.75 : x
  2. Step 2: Convert to fraction form
    607.69/838.67 = 345.75/x
  3. Step 3: Cross multiply
    607.69x = 838.67 × 345.75
  4. Step 4: Simplify right side
    607.69x = 289,970.15
  5. Step 5: Solve for x
    x = 289,970.15/607.69
  6. Step 6: Final answer
    x = 477.17

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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.