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Finding the Fourth Proportional to 977.56, 1,465.53 and 361.15

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Solution

The fourth proportional to 977.56, 1,465.53 and 361.15 is: 541.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.56 : 1,465.53 = 361.15 : x
  2. Step 2: Convert to fraction form
    977.56/1,465.53 = 361.15/x
  3. Step 3: Cross multiply
    977.56x = 1,465.53 × 361.15
  4. Step 4: Simplify right side
    977.56x = 529,276.16
  5. Step 5: Solve for x
    x = 529,276.16/977.56
  6. Step 6: Final answer
    x = 541.43

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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.