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Finding the Fourth Proportional to 325.90, 488.36 and 316.02

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Solution

The fourth proportional to 325.90, 488.36 and 316.02 is: 473.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.90 : 488.36 = 316.02 : x
  2. Step 2: Convert to fraction form
    325.90/488.36 = 316.02/x
  3. Step 3: Cross multiply
    325.90x = 488.36 × 316.02
  4. Step 4: Simplify right side
    325.90x = 154,327.51
  5. Step 5: Solve for x
    x = 154,327.51/325.90
  6. Step 6: Final answer
    x = 473.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.