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Finding the Fourth Proportional to 973.97, 1,460.94 and 243.55

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Solution

The fourth proportional to 973.97, 1,460.94 and 243.55 is: 365.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.97 : 1,460.94 = 243.55 : x
  2. Step 2: Convert to fraction form
    973.97/1,460.94 = 243.55/x
  3. Step 3: Cross multiply
    973.97x = 1,460.94 × 243.55
  4. Step 4: Simplify right side
    973.97x = 355,804.63
  5. Step 5: Solve for x
    x = 355,804.63/973.97
  6. Step 6: Final answer
    x = 365.31

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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.