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Finding the Fourth Proportional to 615.74, 850.30 and 557.42

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Solution

The fourth proportional to 615.74, 850.30 and 557.42 is: 769.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.74 : 850.30 = 557.42 : x
  2. Step 2: Convert to fraction form
    615.74/850.30 = 557.42/x
  3. Step 3: Cross multiply
    615.74x = 850.30 × 557.42
  4. Step 4: Simplify right side
    615.74x = 473,968.58
  5. Step 5: Solve for x
    x = 473,968.58/615.74
  6. Step 6: Final answer
    x = 769.76

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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.