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Finding the Fourth Proportional to 553.46, 763.80 and 304.81

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Solution

The fourth proportional to 553.46, 763.80 and 304.81 is: 420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.46 : 763.80 = 304.81 : x
  2. Step 2: Convert to fraction form
    553.46/763.80 = 304.81/x
  3. Step 3: Cross multiply
    553.46x = 763.80 × 304.81
  4. Step 4: Simplify right side
    553.46x = 232,808.53
  5. Step 5: Solve for x
    x = 232,808.53/553.46
  6. Step 6: Final answer
    x = 420.64

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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.