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Finding the Fourth Proportional to 421.53, 581.76 and 255.74

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Solution

The fourth proportional to 421.53, 581.76 and 255.74 is: 352.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.53 : 581.76 = 255.74 : x
  2. Step 2: Convert to fraction form
    421.53/581.76 = 255.74/x
  3. Step 3: Cross multiply
    421.53x = 581.76 × 255.74
  4. Step 4: Simplify right side
    421.53x = 148,779.30
  5. Step 5: Solve for x
    x = 148,779.30/421.53
  6. Step 6: Final answer
    x = 352.95

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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.