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Finding the Fourth Proportional to 475.45, 656.53 and 309.60

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Solution

The fourth proportional to 475.45, 656.53 and 309.60 is: 427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.45 : 656.53 = 309.60 : x
  2. Step 2: Convert to fraction form
    475.45/656.53 = 309.60/x
  3. Step 3: Cross multiply
    475.45x = 656.53 × 309.60
  4. Step 4: Simplify right side
    475.45x = 203,261.69
  5. Step 5: Solve for x
    x = 203,261.69/475.45
  6. Step 6: Final answer
    x = 427.51

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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.