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Finding the Fourth Proportional to 615.48, 849.38 and 419.08

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Solution

The fourth proportional to 615.48, 849.38 and 419.08 is: 578.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.48 : 849.38 = 419.08 : x
  2. Step 2: Convert to fraction form
    615.48/849.38 = 419.08/x
  3. Step 3: Cross multiply
    615.48x = 849.38 × 419.08
  4. Step 4: Simplify right side
    615.48x = 355,958.17
  5. Step 5: Solve for x
    x = 355,958.17/615.48
  6. Step 6: Final answer
    x = 578.34

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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.