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Finding the Fourth Proportional to 623.50, 860.71 and 361.46

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Solution

The fourth proportional to 623.50, 860.71 and 361.46 is: 498.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.50 : 860.71 = 361.46 : x
  2. Step 2: Convert to fraction form
    623.50/860.71 = 361.46/x
  3. Step 3: Cross multiply
    623.50x = 860.71 × 361.46
  4. Step 4: Simplify right side
    623.50x = 311,112.24
  5. Step 5: Solve for x
    x = 311,112.24/623.50
  6. Step 6: Final answer
    x = 498.98

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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.