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Finding the Fourth Proportional to 537.66, 740.61 and 421.02

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Solution

The fourth proportional to 537.66, 740.61 and 421.02 is: 579.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.66 : 740.61 = 421.02 : x
  2. Step 2: Convert to fraction form
    537.66/740.61 = 421.02/x
  3. Step 3: Cross multiply
    537.66x = 740.61 × 421.02
  4. Step 4: Simplify right side
    537.66x = 311,811.62
  5. Step 5: Solve for x
    x = 311,811.62/537.66
  6. Step 6: Final answer
    x = 579.94

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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.