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Finding the Fourth Proportional to 623.66, 860.80 and 427.26

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Solution

The fourth proportional to 623.66, 860.80 and 427.26 is: 589.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.66 : 860.80 = 427.26 : x
  2. Step 2: Convert to fraction form
    623.66/860.80 = 427.26/x
  3. Step 3: Cross multiply
    623.66x = 860.80 × 427.26
  4. Step 4: Simplify right side
    623.66x = 367,785.41
  5. Step 5: Solve for x
    x = 367,785.41/623.66
  6. Step 6: Final answer
    x = 589.72

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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.