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Finding the Fourth Proportional to 537.28, 740.64 and 420.64

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Solution

The fourth proportional to 537.28, 740.64 and 420.64 is: 579.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.28 : 740.64 = 420.64 : x
  2. Step 2: Convert to fraction form
    537.28/740.64 = 420.64/x
  3. Step 3: Cross multiply
    537.28x = 740.64 × 420.64
  4. Step 4: Simplify right side
    537.28x = 311,542.81
  5. Step 5: Solve for x
    x = 311,542.81/537.28
  6. Step 6: Final answer
    x = 579.85

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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.