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Finding the Fourth Proportional to 421.71, 581.68 and 414.42

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Solution

The fourth proportional to 421.71, 581.68 and 414.42 is: 571.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.71 : 581.68 = 414.42 : x
  2. Step 2: Convert to fraction form
    421.71/581.68 = 414.42/x
  3. Step 3: Cross multiply
    421.71x = 581.68 × 414.42
  4. Step 4: Simplify right side
    421.71x = 241,058.16
  5. Step 5: Solve for x
    x = 241,058.16/421.71
  6. Step 6: Final answer
    x = 571.63

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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.