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Finding the Fourth Proportional to 557.58, 836.46 and 280.07

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Solution

The fourth proportional to 557.58, 836.46 and 280.07 is: 420.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.58 : 836.46 = 280.07 : x
  2. Step 2: Convert to fraction form
    557.58/836.46 = 280.07/x
  3. Step 3: Cross multiply
    557.58x = 836.46 × 280.07
  4. Step 4: Simplify right side
    557.58x = 234,265.27
  5. Step 5: Solve for x
    x = 234,265.27/557.58
  6. Step 6: Final answer
    x = 420.15

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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.