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Finding the Fourth Proportional to 465.78, 697.46 and 301.00

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Solution

The fourth proportional to 465.78, 697.46 and 301.00 is: 450.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.78 : 697.46 = 301.00 : x
  2. Step 2: Convert to fraction form
    465.78/697.46 = 301.00/x
  3. Step 3: Cross multiply
    465.78x = 697.46 × 301.00
  4. Step 4: Simplify right side
    465.78x = 209,932.21
  5. Step 5: Solve for x
    x = 209,932.21/465.78
  6. Step 6: Final answer
    x = 450.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.