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Finding the Fourth Proportional to 357.82, 537.64 and 277.63

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Solution

The fourth proportional to 357.82, 537.64 and 277.63 is: 417.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.82 : 537.64 = 277.63 : x
  2. Step 2: Convert to fraction form
    357.82/537.64 = 277.63/x
  3. Step 3: Cross multiply
    357.82x = 537.64 × 277.63
  4. Step 4: Simplify right side
    357.82x = 149,262.96
  5. Step 5: Solve for x
    x = 149,262.96/357.82
  6. Step 6: Final answer
    x = 417.15

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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.