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Finding the Fourth Proportional to 977.96, 1,466.96 and 361.72

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Solution

The fourth proportional to 977.96, 1,466.96 and 361.72 is: 542.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.96 : 1,466.96 = 361.72 : x
  2. Step 2: Convert to fraction form
    977.96/1,466.96 = 361.72/x
  3. Step 3: Cross multiply
    977.96x = 1,466.96 × 361.72
  4. Step 4: Simplify right side
    977.96x = 530,628.77
  5. Step 5: Solve for x
    x = 530,628.77/977.96
  6. Step 6: Final answer
    x = 542.59

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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.