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Finding the Fourth Proportional to 615.08, 849.08 and 428.84

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Solution

The fourth proportional to 615.08, 849.08 and 428.84 is: 591.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.08 : 849.08 = 428.84 : x
  2. Step 2: Convert to fraction form
    615.08/849.08 = 428.84/x
  3. Step 3: Cross multiply
    615.08x = 849.08 × 428.84
  4. Step 4: Simplify right side
    615.08x = 364,119.47
  5. Step 5: Solve for x
    x = 364,119.47/615.08
  6. Step 6: Final answer
    x = 591.99

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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.