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Finding the Fourth Proportional to 421.93, 582.31 and 264.59

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Solution

The fourth proportional to 421.93, 582.31 and 264.59 is: 365.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.93 : 582.31 = 264.59 : x
  2. Step 2: Convert to fraction form
    421.93/582.31 = 264.59/x
  3. Step 3: Cross multiply
    421.93x = 582.31 × 264.59
  4. Step 4: Simplify right side
    421.93x = 154,072.08
  5. Step 5: Solve for x
    x = 154,072.08/421.93
  6. Step 6: Final answer
    x = 365.16

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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.