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Finding the Fourth Proportional to 420.88, 581.02 and 323.07

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Solution

The fourth proportional to 420.88, 581.02 and 323.07 is: 445.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.88 : 581.02 = 323.07 : x
  2. Step 2: Convert to fraction form
    420.88/581.02 = 323.07/x
  3. Step 3: Cross multiply
    420.88x = 581.02 × 323.07
  4. Step 4: Simplify right side
    420.88x = 187,710.13
  5. Step 5: Solve for x
    x = 187,710.13/420.88
  6. Step 6: Final answer
    x = 445.99

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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.