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Finding the Fourth Proportional to 475.63, 656.41 and 289.16

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Solution

The fourth proportional to 475.63, 656.41 and 289.16 is: 399.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.63 : 656.41 = 289.16 : x
  2. Step 2: Convert to fraction form
    475.63/656.41 = 289.16/x
  3. Step 3: Cross multiply
    475.63x = 656.41 × 289.16
  4. Step 4: Simplify right side
    475.63x = 189,808.43
  5. Step 5: Solve for x
    x = 189,808.43/475.63
  6. Step 6: Final answer
    x = 399.07

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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.