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Finding the Fourth Proportional to 557.60, 769.46 and 336.50

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Solution

The fourth proportional to 557.60, 769.46 and 336.50 is: 464.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.60 : 769.46 = 336.50 : x
  2. Step 2: Convert to fraction form
    557.60/769.46 = 336.50/x
  3. Step 3: Cross multiply
    557.60x = 769.46 × 336.50
  4. Step 4: Simplify right side
    557.60x = 258,917.76
  5. Step 5: Solve for x
    x = 258,917.76/557.60
  6. Step 6: Final answer
    x = 464.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.