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Finding the Fourth Proportional to 615.96, 849.42 and 429.12

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Solution

The fourth proportional to 615.96, 849.42 and 429.12 is: 591.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.96 : 849.42 = 429.12 : x
  2. Step 2: Convert to fraction form
    615.96/849.42 = 429.12/x
  3. Step 3: Cross multiply
    615.96x = 849.42 × 429.12
  4. Step 4: Simplify right side
    615.96x = 364,503.11
  5. Step 5: Solve for x
    x = 364,503.11/615.96
  6. Step 6: Final answer
    x = 591.76

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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.