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Finding the Fourth Proportional to 462.80, 637.93 and 364.39

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Solution

The fourth proportional to 462.80, 637.93 and 364.39 is: 502.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.80 : 637.93 = 364.39 : x
  2. Step 2: Convert to fraction form
    462.80/637.93 = 364.39/x
  3. Step 3: Cross multiply
    462.80x = 637.93 × 364.39
  4. Step 4: Simplify right side
    462.80x = 232,455.31
  5. Step 5: Solve for x
    x = 232,455.31/462.80
  6. Step 6: Final answer
    x = 502.28

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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.