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Finding the Fourth Proportional to 607.69, 838.62 and 430.96

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Solution

The fourth proportional to 607.69, 838.62 and 430.96 is: 594.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.69 : 838.62 = 430.96 : x
  2. Step 2: Convert to fraction form
    607.69/838.62 = 430.96/x
  3. Step 3: Cross multiply
    607.69x = 838.62 × 430.96
  4. Step 4: Simplify right side
    607.69x = 361,411.68
  5. Step 5: Solve for x
    x = 361,411.68/607.69
  6. Step 6: Final answer
    x = 594.73

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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.