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Finding the Fourth Proportional to 623.35, 855.61 and 596.62

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Solution

The fourth proportional to 623.35, 855.61 and 596.62 is: 818.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.35 : 855.61 = 596.62 : x
  2. Step 2: Convert to fraction form
    623.35/855.61 = 596.62/x
  3. Step 3: Cross multiply
    623.35x = 855.61 × 596.62
  4. Step 4: Simplify right side
    623.35x = 510,472.16
  5. Step 5: Solve for x
    x = 510,472.16/623.35
  6. Step 6: Final answer
    x = 818.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.