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Finding the Fourth Proportional to 475.83, 656.10 and 402.03

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Solution

The fourth proportional to 475.83, 656.10 and 402.03 is: 554.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.83 : 656.10 = 402.03 : x
  2. Step 2: Convert to fraction form
    475.83/656.10 = 402.03/x
  3. Step 3: Cross multiply
    475.83x = 656.10 × 402.03
  4. Step 4: Simplify right side
    475.83x = 263,771.88
  5. Step 5: Solve for x
    x = 263,771.88/475.83
  6. Step 6: Final answer
    x = 554.34

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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.