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Finding the Fourth Proportional to 558.42, 770.63 and 309.75

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Solution

The fourth proportional to 558.42, 770.63 and 309.75 is: 427.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.42 : 770.63 = 309.75 : x
  2. Step 2: Convert to fraction form
    558.42/770.63 = 309.75/x
  3. Step 3: Cross multiply
    558.42x = 770.63 × 309.75
  4. Step 4: Simplify right side
    558.42x = 238,700.81
  5. Step 5: Solve for x
    x = 238,700.81/558.42
  6. Step 6: Final answer
    x = 427.45

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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.