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Finding the Fourth Proportional to 475.68, 656.48 and 289.12

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Solution

The fourth proportional to 475.68, 656.48 and 289.12 is: 399.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.68 : 656.48 = 289.12 : x
  2. Step 2: Convert to fraction form
    475.68/656.48 = 289.12/x
  3. Step 3: Cross multiply
    475.68x = 656.48 × 289.12
  4. Step 4: Simplify right side
    475.68x = 189,801.50
  5. Step 5: Solve for x
    x = 189,801.50/475.68
  6. Step 6: Final answer
    x = 399.01

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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.