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Finding the Fourth Proportional to 277.74, 384.48 and 264.24

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Solution

The fourth proportional to 277.74, 384.48 and 264.24 is: 365.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.74 : 384.48 = 264.24 : x
  2. Step 2: Convert to fraction form
    277.74/384.48 = 264.24/x
  3. Step 3: Cross multiply
    277.74x = 384.48 × 264.24
  4. Step 4: Simplify right side
    277.74x = 101,595.00
  5. Step 5: Solve for x
    x = 101,595.00/277.74
  6. Step 6: Final answer
    x = 365.79

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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.