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Finding the Fourth Proportional to 490.23, 675.95 and 434.04

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Solution

The fourth proportional to 490.23, 675.95 and 434.04 is: 598.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.23 : 675.95 = 434.04 : x
  2. Step 2: Convert to fraction form
    490.23/675.95 = 434.04/x
  3. Step 3: Cross multiply
    490.23x = 675.95 × 434.04
  4. Step 4: Simplify right side
    490.23x = 293,387.17
  5. Step 5: Solve for x
    x = 293,387.17/490.23
  6. Step 6: Final answer
    x = 598.47

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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.