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Finding the Fourth Proportional to 490.04, 675.72 and 315.32

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Solution

The fourth proportional to 490.04, 675.72 and 315.32 is: 434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.04 : 675.72 = 315.32 : x
  2. Step 2: Convert to fraction form
    490.04/675.72 = 315.32/x
  3. Step 3: Cross multiply
    490.04x = 675.72 × 315.32
  4. Step 4: Simplify right side
    490.04x = 213,068.03
  5. Step 5: Solve for x
    x = 213,068.03/490.04
  6. Step 6: Final answer
    x = 434.80

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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.