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Finding the Fourth Proportional to 612.63, 845.67 and 448.02

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Solution

The fourth proportional to 612.63, 845.67 and 448.02 is: 618.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.63 : 845.67 = 448.02 : x
  2. Step 2: Convert to fraction form
    612.63/845.67 = 448.02/x
  3. Step 3: Cross multiply
    612.63x = 845.67 × 448.02
  4. Step 4: Simplify right side
    612.63x = 378,877.07
  5. Step 5: Solve for x
    x = 378,877.07/612.63
  6. Step 6: Final answer
    x = 618.44

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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.