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Finding the Fourth Proportional to 973.57, 1,460.27 and 388.42

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Solution

The fourth proportional to 973.57, 1,460.27 and 388.42 is: 582.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.57 : 1,460.27 = 388.42 : x
  2. Step 2: Convert to fraction form
    973.57/1,460.27 = 388.42/x
  3. Step 3: Cross multiply
    973.57x = 1,460.27 × 388.42
  4. Step 4: Simplify right side
    973.57x = 567,198.41
  5. Step 5: Solve for x
    x = 567,198.41/973.57
  6. Step 6: Final answer
    x = 582.59

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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.