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Finding the Fourth Proportional to 623.30, 860.22 and 427.68

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Solution

The fourth proportional to 623.30, 860.22 and 427.68 is: 590.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.30 : 860.22 = 427.68 : x
  2. Step 2: Convert to fraction form
    623.30/860.22 = 427.68/x
  3. Step 3: Cross multiply
    623.30x = 860.22 × 427.68
  4. Step 4: Simplify right side
    623.30x = 367,898.89
  5. Step 5: Solve for x
    x = 367,898.89/623.30
  6. Step 6: Final answer
    x = 590.25

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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.