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Finding the Fourth Proportional to 537.30, 805.64 and 277

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Solution

The fourth proportional to 537.30, 805.64 and 277 is: 415.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.30 : 805.64 = 277 : x
  2. Step 2: Convert to fraction form
    537.30/805.64 = 277/x
  3. Step 3: Cross multiply
    537.30x = 805.64 × 277
  4. Step 4: Simplify right side
    537.30x = 223,162.28
  5. Step 5: Solve for x
    x = 223,162.28/537.30
  6. Step 6: Final answer
    x = 415.34

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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.