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Finding the Fourth Proportional to 623.46, 860 and 361.44

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Solution

The fourth proportional to 623.46, 860 and 361.44 is: 498.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.46 : 860 = 361.44 : x
  2. Step 2: Convert to fraction form
    623.46/860 = 361.44/x
  3. Step 3: Cross multiply
    623.46x = 860 × 361.44
  4. Step 4: Simplify right side
    623.46x = 310,838.40
  5. Step 5: Solve for x
    x = 310,838.40/623.46
  6. Step 6: Final answer
    x = 498.57

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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.