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Finding the Fourth Proportional to 985.24, 1,477.93 and 254.82

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Solution

The fourth proportional to 985.24, 1,477.93 and 254.82 is: 382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.24 : 1,477.93 = 254.82 : x
  2. Step 2: Convert to fraction form
    985.24/1,477.93 = 254.82/x
  3. Step 3: Cross multiply
    985.24x = 1,477.93 × 254.82
  4. Step 4: Simplify right side
    985.24x = 376,606.12
  5. Step 5: Solve for x
    x = 376,606.12/985.24
  6. Step 6: Final answer
    x = 382.25

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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.