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Finding the Fourth Proportional to 973.67, 1,460.30 and 388.31

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Solution

The fourth proportional to 973.67, 1,460.30 and 388.31 is: 582.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.67 : 1,460.30 = 388.31 : x
  2. Step 2: Convert to fraction form
    973.67/1,460.30 = 388.31/x
  3. Step 3: Cross multiply
    973.67x = 1,460.30 × 388.31
  4. Step 4: Simplify right side
    973.67x = 567,049.09
  5. Step 5: Solve for x
    x = 567,049.09/973.67
  6. Step 6: Final answer
    x = 582.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.