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Finding the Fourth Proportional to 558.22, 770.33 and 309.53

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Solution

The fourth proportional to 558.22, 770.33 and 309.53 is: 427.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.22 : 770.33 = 309.53 : x
  2. Step 2: Convert to fraction form
    558.22/770.33 = 309.53/x
  3. Step 3: Cross multiply
    558.22x = 770.33 × 309.53
  4. Step 4: Simplify right side
    558.22x = 238,438.70
  5. Step 5: Solve for x
    x = 238,438.70/558.22
  6. Step 6: Final answer
    x = 427.14

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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.