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Finding the Fourth Proportional to 553.37, 763.67 and 304.71

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Solution

The fourth proportional to 553.37, 763.67 and 304.71 is: 420.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.37 : 763.67 = 304.71 : x
  2. Step 2: Convert to fraction form
    553.37/763.67 = 304.71/x
  3. Step 3: Cross multiply
    553.37x = 763.67 × 304.71
  4. Step 4: Simplify right side
    553.37x = 232,696.36
  5. Step 5: Solve for x
    x = 232,696.36/553.37
  6. Step 6: Final answer
    x = 420.51

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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.