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Finding the Fourth Proportional to 557.40, 834.28 and 466.28

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Solution

The fourth proportional to 557.40, 834.28 and 466.28 is: 697.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.40 : 834.28 = 466.28 : x
  2. Step 2: Convert to fraction form
    557.40/834.28 = 466.28/x
  3. Step 3: Cross multiply
    557.40x = 834.28 × 466.28
  4. Step 4: Simplify right side
    557.40x = 389,008.08
  5. Step 5: Solve for x
    x = 389,008.08/557.40
  6. Step 6: Final answer
    x = 697.90

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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.