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Finding the Fourth Proportional to 553.46, 763.84 and 364.60

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Solution

The fourth proportional to 553.46, 763.84 and 364.60 is: 503.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.46 : 763.84 = 364.60 : x
  2. Step 2: Convert to fraction form
    553.46/763.84 = 364.60/x
  3. Step 3: Cross multiply
    553.46x = 763.84 × 364.60
  4. Step 4: Simplify right side
    553.46x = 278,496.06
  5. Step 5: Solve for x
    x = 278,496.06/553.46
  6. Step 6: Final answer
    x = 503.19

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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.