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Finding the Fourth Proportional to 277.47, 382.49 and 228.26

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Solution

The fourth proportional to 277.47, 382.49 and 228.26 is: 314.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.47 : 382.49 = 228.26 : x
  2. Step 2: Convert to fraction form
    277.47/382.49 = 228.26/x
  3. Step 3: Cross multiply
    277.47x = 382.49 × 228.26
  4. Step 4: Simplify right side
    277.47x = 87,307.17
  5. Step 5: Solve for x
    x = 87,307.17/277.47
  6. Step 6: Final answer
    x = 314.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.