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Finding the Fourth Proportional to 942.11, 1,412.16 and 325.64

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Solution

The fourth proportional to 942.11, 1,412.16 and 325.64 is: 488.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.11 : 1,412.16 = 325.64 : x
  2. Step 2: Convert to fraction form
    942.11/1,412.16 = 325.64/x
  3. Step 3: Cross multiply
    942.11x = 1,412.16 × 325.64
  4. Step 4: Simplify right side
    942.11x = 459,855.78
  5. Step 5: Solve for x
    x = 459,855.78/942.11
  6. Step 6: Final answer
    x = 488.11

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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.