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Finding the Fourth Proportional to 417.32, 575.98 and 277.44

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Solution

The fourth proportional to 417.32, 575.98 and 277.44 is: 382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.32 : 575.98 = 277.44 : x
  2. Step 2: Convert to fraction form
    417.32/575.98 = 277.44/x
  3. Step 3: Cross multiply
    417.32x = 575.98 × 277.44
  4. Step 4: Simplify right side
    417.32x = 159,799.89
  5. Step 5: Solve for x
    x = 159,799.89/417.32
  6. Step 6: Final answer
    x = 382.92

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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.