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Finding the Fourth Proportional to 305.51, 420.75 and 264.02

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Solution

The fourth proportional to 305.51, 420.75 and 264.02 is: 363.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.51 : 420.75 = 264.02 : x
  2. Step 2: Convert to fraction form
    305.51/420.75 = 264.02/x
  3. Step 3: Cross multiply
    305.51x = 420.75 × 264.02
  4. Step 4: Simplify right side
    305.51x = 111,084.31
  5. Step 5: Solve for x
    x = 111,084.31/305.51
  6. Step 6: Final answer
    x = 363.61

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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.