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Finding the Fourth Proportional to 838.53, 1,258.01 and 253.53

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Solution

The fourth proportional to 838.53, 1,258.01 and 253.53 is: 380.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.53 : 1,258.01 = 253.53 : x
  2. Step 2: Convert to fraction form
    838.53/1,258.01 = 253.53/x
  3. Step 3: Cross multiply
    838.53x = 1,258.01 × 253.53
  4. Step 4: Simplify right side
    838.53x = 318,942.25
  5. Step 5: Solve for x
    x = 318,942.25/838.53
  6. Step 6: Final answer
    x = 380.36

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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.