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Finding the Fourth Proportional to 537.54, 740.87 and 419.31

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Solution

The fourth proportional to 537.54, 740.87 and 419.31 is: 577.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.54 : 740.87 = 419.31 : x
  2. Step 2: Convert to fraction form
    537.54/740.87 = 419.31/x
  3. Step 3: Cross multiply
    537.54x = 740.87 × 419.31
  4. Step 4: Simplify right side
    537.54x = 310,652.10
  5. Step 5: Solve for x
    x = 310,652.10/537.54
  6. Step 6: Final answer
    x = 577.91

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Why These Related Problems?

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