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Finding the Fourth Proportional to 553.00, 763.16 and 304.33

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Solution

The fourth proportional to 553.00, 763.16 and 304.33 is: 419.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.00 : 763.16 = 304.33 : x
  2. Step 2: Convert to fraction form
    553.00/763.16 = 304.33/x
  3. Step 3: Cross multiply
    553.00x = 763.16 × 304.33
  4. Step 4: Simplify right side
    553.00x = 232,252.63
  5. Step 5: Solve for x
    x = 232,252.63/553.00
  6. Step 6: Final answer
    x = 419.99

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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.