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Finding the Fourth Proportional to 558.51, 770.75 and 309.84

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Solution

The fourth proportional to 558.51, 770.75 and 309.84 is: 427.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.51 : 770.75 = 309.84 : x
  2. Step 2: Convert to fraction form
    558.51/770.75 = 309.84/x
  3. Step 3: Cross multiply
    558.51x = 770.75 × 309.84
  4. Step 4: Simplify right side
    558.51x = 238,805.33
  5. Step 5: Solve for x
    x = 238,805.33/558.51
  6. Step 6: Final answer
    x = 427.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.