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Finding the Fourth Proportional to 277.12, 414.81 and 253.22

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Solution

The fourth proportional to 277.12, 414.81 and 253.22 is: 379.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.12 : 414.81 = 253.22 : x
  2. Step 2: Convert to fraction form
    277.12/414.81 = 253.22/x
  3. Step 3: Cross multiply
    277.12x = 414.81 × 253.22
  4. Step 4: Simplify right side
    277.12x = 105,038.19
  5. Step 5: Solve for x
    x = 105,038.19/277.12
  6. Step 6: Final answer
    x = 379.04

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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.