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Finding the Fourth Proportional to 607.40, 838.41 and 345.50

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Solution

The fourth proportional to 607.40, 838.41 and 345.50 is: 476.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.40 : 838.41 = 345.50 : x
  2. Step 2: Convert to fraction form
    607.40/838.41 = 345.50/x
  3. Step 3: Cross multiply
    607.40x = 838.41 × 345.50
  4. Step 4: Simplify right side
    607.40x = 289,670.66
  5. Step 5: Solve for x
    x = 289,670.66/607.40
  6. Step 6: Final answer
    x = 476.90

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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.