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Finding the Fourth Proportional to 607.70, 838.43 and 345.66

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Solution

The fourth proportional to 607.70, 838.43 and 345.66 is: 476.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.70 : 838.43 = 345.66 : x
  2. Step 2: Convert to fraction form
    607.70/838.43 = 345.66/x
  3. Step 3: Cross multiply
    607.70x = 838.43 × 345.66
  4. Step 4: Simplify right side
    607.70x = 289,809.99
  5. Step 5: Solve for x
    x = 289,809.99/607.70
  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.