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Finding the Fourth Proportional to 615.63, 849.27 and 416.53

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Solution

The fourth proportional to 615.63, 849.27 and 416.53 is: 574.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.63 : 849.27 = 416.53 : x
  2. Step 2: Convert to fraction form
    615.63/849.27 = 416.53/x
  3. Step 3: Cross multiply
    615.63x = 849.27 × 416.53
  4. Step 4: Simplify right side
    615.63x = 353,745.87
  5. Step 5: Solve for x
    x = 353,745.87/615.63
  6. Step 6: Final answer
    x = 574.61

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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.