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Finding the Fourth Proportional to 612.93, 845.42 and 426.35

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Solution

The fourth proportional to 612.93, 845.42 and 426.35 is: 588.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.93 : 845.42 = 426.35 : x
  2. Step 2: Convert to fraction form
    612.93/845.42 = 426.35/x
  3. Step 3: Cross multiply
    612.93x = 845.42 × 426.35
  4. Step 4: Simplify right side
    612.93x = 360,444.82
  5. Step 5: Solve for x
    x = 360,444.82/612.93
  6. Step 6: Final answer
    x = 588.07

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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.