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Finding the Fourth Proportional to 475.86, 656.70 and 266.08

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Solution

The fourth proportional to 475.86, 656.70 and 266.08 is: 367.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.86 : 656.70 = 266.08 : x
  2. Step 2: Convert to fraction form
    475.86/656.70 = 266.08/x
  3. Step 3: Cross multiply
    475.86x = 656.70 × 266.08
  4. Step 4: Simplify right side
    475.86x = 174,734.74
  5. Step 5: Solve for x
    x = 174,734.74/475.86
  6. Step 6: Final answer
    x = 367.20

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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.