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Finding the Fourth Proportional to 977.34, 1,466.58 and 361.46

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Solution

The fourth proportional to 977.34, 1,466.58 and 361.46 is: 542.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.34 : 1,466.58 = 361.46 : x
  2. Step 2: Convert to fraction form
    977.34/1,466.58 = 361.46/x
  3. Step 3: Cross multiply
    977.34x = 1,466.58 × 361.46
  4. Step 4: Simplify right side
    977.34x = 530,110.01
  5. Step 5: Solve for x
    x = 530,110.01/977.34
  6. Step 6: Final answer
    x = 542.40

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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.