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Finding the Fourth Proportional to 623.40, 860.14 and 361.36

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Solution

The fourth proportional to 623.40, 860.14 and 361.36 is: 498.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.40 : 860.14 = 361.36 : x
  2. Step 2: Convert to fraction form
    623.40/860.14 = 361.36/x
  3. Step 3: Cross multiply
    623.40x = 860.14 × 361.36
  4. Step 4: Simplify right side
    623.40x = 310,820.19
  5. Step 5: Solve for x
    x = 310,820.19/623.40
  6. Step 6: Final answer
    x = 498.59

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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.