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Finding the Fourth Proportional to 558.55, 770.74 and 309.86

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Solution

The fourth proportional to 558.55, 770.74 and 309.86 is: 427.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.55 : 770.74 = 309.86 : x
  2. Step 2: Convert to fraction form
    558.55/770.74 = 309.86/x
  3. Step 3: Cross multiply
    558.55x = 770.74 × 309.86
  4. Step 4: Simplify right side
    558.55x = 238,821.50
  5. Step 5: Solve for x
    x = 238,821.50/558.55
  6. Step 6: Final answer
    x = 427.57

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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.