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Finding the Fourth Proportional to 558.23, 770.40 and 309.63

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Solution

The fourth proportional to 558.23, 770.40 and 309.63 is: 427.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.23 : 770.40 = 309.63 : x
  2. Step 2: Convert to fraction form
    558.23/770.40 = 309.63/x
  3. Step 3: Cross multiply
    558.23x = 770.40 × 309.63
  4. Step 4: Simplify right side
    558.23x = 238,540.11
  5. Step 5: Solve for x
    x = 238,540.11/558.23
  6. Step 6: Final answer
    x = 427.32

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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.