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Finding the Fourth Proportional to 490.02, 672.59 and 436.38

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Solution

The fourth proportional to 490.02, 672.59 and 436.38 is: 598.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.02 : 672.59 = 436.38 : x
  2. Step 2: Convert to fraction form
    490.02/672.59 = 436.38/x
  3. Step 3: Cross multiply
    490.02x = 672.59 × 436.38
  4. Step 4: Simplify right side
    490.02x = 293,502.64
  5. Step 5: Solve for x
    x = 293,502.64/490.02
  6. Step 6: Final answer
    x = 598.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.