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Finding the Fourth Proportional to 277.48, 417.67 and 235.72

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Solution

The fourth proportional to 277.48, 417.67 and 235.72 is: 354.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.48 : 417.67 = 235.72 : x
  2. Step 2: Convert to fraction form
    277.48/417.67 = 235.72/x
  3. Step 3: Cross multiply
    277.48x = 417.67 × 235.72
  4. Step 4: Simplify right side
    277.48x = 98,453.17
  5. Step 5: Solve for x
    x = 98,453.17/277.48
  6. Step 6: Final answer
    x = 354.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.