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Finding the Fourth Proportional to 488.16, 731.70 and 325.62

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Solution

The fourth proportional to 488.16, 731.70 and 325.62 is: 488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.16 : 731.70 = 325.62 : x
  2. Step 2: Convert to fraction form
    488.16/731.70 = 325.62/x
  3. Step 3: Cross multiply
    488.16x = 731.70 × 325.62
  4. Step 4: Simplify right side
    488.16x = 238,256.15
  5. Step 5: Solve for x
    x = 238,256.15/488.16
  6. Step 6: Final answer
    x = 488.07

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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.