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Finding the Fourth Proportional to 464.74, 641.37 and 386.98

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Solution

The fourth proportional to 464.74, 641.37 and 386.98 is: 534.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.74 : 641.37 = 386.98 : x
  2. Step 2: Convert to fraction form
    464.74/641.37 = 386.98/x
  3. Step 3: Cross multiply
    464.74x = 641.37 × 386.98
  4. Step 4: Simplify right side
    464.74x = 248,197.36
  5. Step 5: Solve for x
    x = 248,197.36/464.74
  6. Step 6: Final answer
    x = 534.06

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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.