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Finding the Fourth Proportional to 607.70, 838.62 and 345.77

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Solution

The fourth proportional to 607.70, 838.62 and 345.77 is: 477.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.70 : 838.62 = 345.77 : x
  2. Step 2: Convert to fraction form
    607.70/838.62 = 345.77/x
  3. Step 3: Cross multiply
    607.70x = 838.62 × 345.77
  4. Step 4: Simplify right side
    607.70x = 289,965.44
  5. Step 5: Solve for x
    x = 289,965.44/607.70
  6. Step 6: Final answer
    x = 477.16

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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.