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Finding the Fourth Proportional to 612.93, 845.94 and 433.76

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Solution

The fourth proportional to 612.93, 845.94 and 433.76 is: 598.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.93 : 845.94 = 433.76 : x
  2. Step 2: Convert to fraction form
    612.93/845.94 = 433.76/x
  3. Step 3: Cross multiply
    612.93x = 845.94 × 433.76
  4. Step 4: Simplify right side
    612.93x = 366,932.33
  5. Step 5: Solve for x
    x = 366,932.33/612.93
  6. Step 6: Final answer
    x = 598.65

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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.