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Finding the Fourth Proportional to 553.02, 763.14 and 304.29

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Solution

The fourth proportional to 553.02, 763.14 and 304.29 is: 419.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.02 : 763.14 = 304.29 : x
  2. Step 2: Convert to fraction form
    553.02/763.14 = 304.29/x
  3. Step 3: Cross multiply
    553.02x = 763.14 × 304.29
  4. Step 4: Simplify right side
    553.02x = 232,217.95
  5. Step 5: Solve for x
    x = 232,217.95/553.02
  6. Step 6: Final answer
    x = 419.91

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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.