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Finding the Fourth Proportional to 623.19, 859.46 and 498.81

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Solution

The fourth proportional to 623.19, 859.46 and 498.81 is: 687.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.19 : 859.46 = 498.81 : x
  2. Step 2: Convert to fraction form
    623.19/859.46 = 498.81/x
  3. Step 3: Cross multiply
    623.19x = 859.46 × 498.81
  4. Step 4: Simplify right side
    623.19x = 428,705.94
  5. Step 5: Solve for x
    x = 428,705.94/623.19
  6. Step 6: Final answer
    x = 687.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.