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Finding the Fourth Proportional to 623.85, 860.49 and 427.38

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Solution

The fourth proportional to 623.85, 860.49 and 427.38 is: 589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.85 : 860.49 = 427.38 : x
  2. Step 2: Convert to fraction form
    623.85/860.49 = 427.38/x
  3. Step 3: Cross multiply
    623.85x = 860.49 × 427.38
  4. Step 4: Simplify right side
    623.85x = 367,756.22
  5. Step 5: Solve for x
    x = 367,756.22/623.85
  6. Step 6: Final answer
    x = 589.49

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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.