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Finding the Fourth Proportional to 501.54, 691.86 and 304.92

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Solution

The fourth proportional to 501.54, 691.86 and 304.92 is: 420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.54 : 691.86 = 304.92 : x
  2. Step 2: Convert to fraction form
    501.54/691.86 = 304.92/x
  3. Step 3: Cross multiply
    501.54x = 691.86 × 304.92
  4. Step 4: Simplify right side
    501.54x = 210,961.95
  5. Step 5: Solve for x
    x = 210,961.95/501.54
  6. Step 6: Final answer
    x = 420.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.