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Finding the Fourth Proportional to 537.03, 805.32 and 276.93

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Solution

The fourth proportional to 537.03, 805.32 and 276.93 is: 415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.03 : 805.32 = 276.93 : x
  2. Step 2: Convert to fraction form
    537.03/805.32 = 276.93/x
  3. Step 3: Cross multiply
    537.03x = 805.32 × 276.93
  4. Step 4: Simplify right side
    537.03x = 223,017.27
  5. Step 5: Solve for x
    x = 223,017.27/537.03
  6. Step 6: Final answer
    x = 415.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.