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Finding the Fourth Proportional to 421.76, 581.92 and 274.08

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Solution

The fourth proportional to 421.76, 581.92 and 274.08 is: 378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.76 : 581.92 = 274.08 : x
  2. Step 2: Convert to fraction form
    421.76/581.92 = 274.08/x
  3. Step 3: Cross multiply
    421.76x = 581.92 × 274.08
  4. Step 4: Simplify right side
    421.76x = 159,492.63
  5. Step 5: Solve for x
    x = 159,492.63/421.76
  6. Step 6: Final answer
    x = 378.16

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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.