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Finding the Fourth Proportional to 615.68, 849.74 and 419.25

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Solution

The fourth proportional to 615.68, 849.74 and 419.25 is: 578.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.68 : 849.74 = 419.25 : x
  2. Step 2: Convert to fraction form
    615.68/849.74 = 419.25/x
  3. Step 3: Cross multiply
    615.68x = 849.74 × 419.25
  4. Step 4: Simplify right side
    615.68x = 356,251.40
  5. Step 5: Solve for x
    x = 356,251.40/615.68
  6. Step 6: Final answer
    x = 578.64

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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.