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Finding the Fourth Proportional to 977.58, 1,466.02 and 361.12

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Solution

The fourth proportional to 977.58, 1,466.02 and 361.12 is: 541.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.58 : 1,466.02 = 361.12 : x
  2. Step 2: Convert to fraction form
    977.58/1,466.02 = 361.12/x
  3. Step 3: Cross multiply
    977.58x = 1,466.02 × 361.12
  4. Step 4: Simplify right side
    977.58x = 529,400.01
  5. Step 5: Solve for x
    x = 529,400.01/977.58
  6. Step 6: Final answer
    x = 541.54

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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.