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Finding the Fourth Proportional to 973.03, 1,458.62 and 323.31

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Solution

The fourth proportional to 973.03, 1,458.62 and 323.31 is: 484.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.03 : 1,458.62 = 323.31 : x
  2. Step 2: Convert to fraction form
    973.03/1,458.62 = 323.31/x
  3. Step 3: Cross multiply
    973.03x = 1,458.62 × 323.31
  4. Step 4: Simplify right side
    973.03x = 471,586.43
  5. Step 5: Solve for x
    x = 471,586.43/973.03
  6. Step 6: Final answer
    x = 484.66

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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.