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Finding the Fourth Proportional to 421.29, 581.00 and 342.59

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Solution

The fourth proportional to 421.29, 581.00 and 342.59 is: 472.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.29 : 581.00 = 342.59 : x
  2. Step 2: Convert to fraction form
    421.29/581.00 = 342.59/x
  3. Step 3: Cross multiply
    421.29x = 581.00 × 342.59
  4. Step 4: Simplify right side
    421.29x = 199,040.17
  5. Step 5: Solve for x
    x = 199,040.17/421.29
  6. Step 6: Final answer
    x = 472.45

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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.