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Finding the Fourth Proportional to 421.47, 581.56 and 255.65

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Solution

The fourth proportional to 421.47, 581.56 and 255.65 is: 352.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.47 : 581.56 = 255.65 : x
  2. Step 2: Convert to fraction form
    421.47/581.56 = 255.65/x
  3. Step 3: Cross multiply
    421.47x = 581.56 × 255.65
  4. Step 4: Simplify right side
    421.47x = 148,675.81
  5. Step 5: Solve for x
    x = 148,675.81/421.47
  6. Step 6: Final answer
    x = 352.76

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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.