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Finding the Fourth Proportional to 557.35, 836.16 and 420.46

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Solution

The fourth proportional to 557.35, 836.16 and 420.46 is: 630.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.35 : 836.16 = 420.46 : x
  2. Step 2: Convert to fraction form
    557.35/836.16 = 420.46/x
  3. Step 3: Cross multiply
    557.35x = 836.16 × 420.46
  4. Step 4: Simplify right side
    557.35x = 351,571.83
  5. Step 5: Solve for x
    x = 351,571.83/557.35
  6. Step 6: Final answer
    x = 630.79

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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.