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Finding the Fourth Proportional to 615.20, 923.40 and 461.50

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Solution

The fourth proportional to 615.20, 923.40 and 461.50 is: 692.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.20 : 923.40 = 461.50 : x
  2. Step 2: Convert to fraction form
    615.20/923.40 = 461.50/x
  3. Step 3: Cross multiply
    615.20x = 923.40 × 461.50
  4. Step 4: Simplify right side
    615.20x = 426,146.79
  5. Step 5: Solve for x
    x = 426,146.79/615.20
  6. Step 6: Final answer
    x = 692.70

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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.