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Finding the Fourth Proportional to 421.97, 582.35 and 235.53

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Solution

The fourth proportional to 421.97, 582.35 and 235.53 is: 325.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.97 : 582.35 = 235.53 : x
  2. Step 2: Convert to fraction form
    421.97/582.35 = 235.53/x
  3. Step 3: Cross multiply
    421.97x = 582.35 × 235.53
  4. Step 4: Simplify right side
    421.97x = 137,159.72
  5. Step 5: Solve for x
    x = 137,159.72/421.97
  6. Step 6: Final answer
    x = 325.05

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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.