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Finding the Fourth Proportional to 558.02, 770.04 and 309.30

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Solution

The fourth proportional to 558.02, 770.04 and 309.30 is: 426.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.02 : 770.04 = 309.30 : x
  2. Step 2: Convert to fraction form
    558.02/770.04 = 309.30/x
  3. Step 3: Cross multiply
    558.02x = 770.04 × 309.30
  4. Step 4: Simplify right side
    558.02x = 238,173.37
  5. Step 5: Solve for x
    x = 238,173.37/558.02
  6. Step 6: Final answer
    x = 426.82

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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.