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Finding the Fourth Proportional to 475.54, 656.65 and 298.80

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Solution

The fourth proportional to 475.54, 656.65 and 298.80 is: 412.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.54 : 656.65 = 298.80 : x
  2. Step 2: Convert to fraction form
    475.54/656.65 = 298.80/x
  3. Step 3: Cross multiply
    475.54x = 656.65 × 298.80
  4. Step 4: Simplify right side
    475.54x = 196,207.02
  5. Step 5: Solve for x
    x = 196,207.02/475.54
  6. Step 6: Final answer
    x = 412.60

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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.