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Finding the Fourth Proportional to 462.30, 637.83 and 285.34

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Solution

The fourth proportional to 462.30, 637.83 and 285.34 is: 393.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.30 : 637.83 = 285.34 : x
  2. Step 2: Convert to fraction form
    462.30/637.83 = 285.34/x
  3. Step 3: Cross multiply
    462.30x = 637.83 × 285.34
  4. Step 4: Simplify right side
    462.30x = 181,998.41
  5. Step 5: Solve for x
    x = 181,998.41/462.30
  6. Step 6: Final answer
    x = 393.68

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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.