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Finding the Fourth Proportional to 417.20, 575.84 and 277.25

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Solution

The fourth proportional to 417.20, 575.84 and 277.25 is: 382.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.20 : 575.84 = 277.25 : x
  2. Step 2: Convert to fraction form
    417.20/575.84 = 277.25/x
  3. Step 3: Cross multiply
    417.20x = 575.84 × 277.25
  4. Step 4: Simplify right side
    417.20x = 159,651.64
  5. Step 5: Solve for x
    x = 159,651.64/417.20
  6. Step 6: Final answer
    x = 382.67

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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.