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Finding the Fourth Proportional to 445.37, 616.06 and 417.49

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Solution

The fourth proportional to 445.37, 616.06 and 417.49 is: 577.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.37 : 616.06 = 417.49 : x
  2. Step 2: Convert to fraction form
    445.37/616.06 = 417.49/x
  3. Step 3: Cross multiply
    445.37x = 616.06 × 417.49
  4. Step 4: Simplify right side
    445.37x = 257,198.89
  5. Step 5: Solve for x
    x = 257,198.89/445.37
  6. Step 6: Final answer
    x = 577.49

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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.