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Finding the Fourth Proportional to 421.44, 581.76 and 266.16

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Solution

The fourth proportional to 421.44, 581.76 and 266.16 is: 367.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.44 : 581.76 = 266.16 : x
  2. Step 2: Convert to fraction form
    421.44/581.76 = 266.16/x
  3. Step 3: Cross multiply
    421.44x = 581.76 × 266.16
  4. Step 4: Simplify right side
    421.44x = 154,841.24
  5. Step 5: Solve for x
    x = 154,841.24/421.44
  6. Step 6: Final answer
    x = 367.41

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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.