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Finding the Fourth Proportional to 558.53, 770.72 and 309.84

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Solution

The fourth proportional to 558.53, 770.72 and 309.84 is: 427.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.53 : 770.72 = 309.84 : x
  2. Step 2: Convert to fraction form
    558.53/770.72 = 309.84/x
  3. Step 3: Cross multiply
    558.53x = 770.72 × 309.84
  4. Step 4: Simplify right side
    558.53x = 238,798.34
  5. Step 5: Solve for x
    x = 238,798.34/558.53
  6. Step 6: Final answer
    x = 427.55

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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.