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Finding the Fourth Proportional to 475.72, 656.23 and 298.93

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Solution

The fourth proportional to 475.72, 656.23 and 298.93 is: 412.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.72 : 656.23 = 298.93 : x
  2. Step 2: Convert to fraction form
    475.72/656.23 = 298.93/x
  3. Step 3: Cross multiply
    475.72x = 656.23 × 298.93
  4. Step 4: Simplify right side
    475.72x = 196,166.83
  5. Step 5: Solve for x
    x = 196,166.83/475.72
  6. Step 6: Final answer
    x = 412.36

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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.