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Finding the Fourth Proportional to 612.16, 845.60 and 589.68

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Solution

The fourth proportional to 612.16, 845.60 and 589.68 is: 814.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.16 : 845.60 = 589.68 : x
  2. Step 2: Convert to fraction form
    612.16/845.60 = 589.68/x
  3. Step 3: Cross multiply
    612.16x = 845.60 × 589.68
  4. Step 4: Simplify right side
    612.16x = 498,633.41
  5. Step 5: Solve for x
    x = 498,633.41/612.16
  6. Step 6: Final answer
    x = 814.55

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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.