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Finding the Fourth Proportional to 421.24, 581.84 and 342.68

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Solution

The fourth proportional to 421.24, 581.84 and 342.68 is: 473.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.24 : 581.84 = 342.68 : x
  2. Step 2: Convert to fraction form
    421.24/581.84 = 342.68/x
  3. Step 3: Cross multiply
    421.24x = 581.84 × 342.68
  4. Step 4: Simplify right side
    421.24x = 199,384.93
  5. Step 5: Solve for x
    x = 199,384.93/421.24
  6. Step 6: Final answer
    x = 473.33

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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.