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Finding the Fourth Proportional to 976.96, 1,464.56 and 361.20

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Solution

The fourth proportional to 976.96, 1,464.56 and 361.20 is: 541.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.96 : 1,464.56 = 361.20 : x
  2. Step 2: Convert to fraction form
    976.96/1,464.56 = 361.20/x
  3. Step 3: Cross multiply
    976.96x = 1,464.56 × 361.20
  4. Step 4: Simplify right side
    976.96x = 528,999.07
  5. Step 5: Solve for x
    x = 528,999.07/976.96
  6. Step 6: Final answer
    x = 541.47

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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.