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Finding the Fourth Proportional to 623.19, 859.89 and 361.17

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Solution

The fourth proportional to 623.19, 859.89 and 361.17 is: 498.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.19 : 859.89 = 361.17 : x
  2. Step 2: Convert to fraction form
    623.19/859.89 = 361.17/x
  3. Step 3: Cross multiply
    623.19x = 859.89 × 361.17
  4. Step 4: Simplify right side
    623.19x = 310,566.47
  5. Step 5: Solve for x
    x = 310,566.47/623.19
  6. Step 6: Final answer
    x = 498.35

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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.