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Finding the Fourth Proportional to 615.21, 922.77 and 230.46

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Solution

The fourth proportional to 615.21, 922.77 and 230.46 is: 345.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.21 : 922.77 = 230.46 : x
  2. Step 2: Convert to fraction form
    615.21/922.77 = 230.46/x
  3. Step 3: Cross multiply
    615.21x = 922.77 × 230.46
  4. Step 4: Simplify right side
    615.21x = 212,661.57
  5. Step 5: Solve for x
    x = 212,661.57/615.21
  6. Step 6: Final answer
    x = 345.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.