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Finding the Fourth Proportional to 607.96, 839.13 and 346.13

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Solution

The fourth proportional to 607.96, 839.13 and 346.13 is: 477.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.96 : 839.13 = 346.13 : x
  2. Step 2: Convert to fraction form
    607.96/839.13 = 346.13/x
  3. Step 3: Cross multiply
    607.96x = 839.13 × 346.13
  4. Step 4: Simplify right side
    607.96x = 290,442.14
  5. Step 5: Solve for x
    x = 290,442.14/607.96
  6. Step 6: Final answer
    x = 477.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.