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Finding the Fourth Proportional to 553.42, 763.69 and 304.74

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Solution

The fourth proportional to 553.42, 763.69 and 304.74 is: 420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.42 : 763.69 = 304.74 : x
  2. Step 2: Convert to fraction form
    553.42/763.69 = 304.74/x
  3. Step 3: Cross multiply
    553.42x = 763.69 × 304.74
  4. Step 4: Simplify right side
    553.42x = 232,726.89
  5. Step 5: Solve for x
    x = 232,726.89/553.42
  6. Step 6: Final answer
    x = 420.52

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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.