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Finding the Fourth Proportional to 623.13, 859.92 and 361.15

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Solution

The fourth proportional to 623.13, 859.92 and 361.15 is: 498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.13 : 859.92 = 361.15 : x
  2. Step 2: Convert to fraction form
    623.13/859.92 = 361.15/x
  3. Step 3: Cross multiply
    623.13x = 859.92 × 361.15
  4. Step 4: Simplify right side
    623.13x = 310,560.11
  5. Step 5: Solve for x
    x = 310,560.11/623.13
  6. Step 6: Final answer
    x = 498.39

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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.