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Finding the Fourth Proportional to 973.67, 1,460.51 and 280.37

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Solution

The fourth proportional to 973.67, 1,460.51 and 280.37 is: 420.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.67 : 1,460.51 = 280.37 : x
  2. Step 2: Convert to fraction form
    973.67/1,460.51 = 280.37/x
  3. Step 3: Cross multiply
    973.67x = 1,460.51 × 280.37
  4. Step 4: Simplify right side
    973.67x = 409,474.48
  5. Step 5: Solve for x
    x = 409,474.48/973.67
  6. Step 6: Final answer
    x = 420.55

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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.