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Finding the Fourth Proportional to 945.36, 1,418.12 and 432.08

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Solution

The fourth proportional to 945.36, 1,418.12 and 432.08 is: 648.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.36 : 1,418.12 = 432.08 : x
  2. Step 2: Convert to fraction form
    945.36/1,418.12 = 432.08/x
  3. Step 3: Cross multiply
    945.36x = 1,418.12 × 432.08
  4. Step 4: Simplify right side
    945.36x = 612,741.29
  5. Step 5: Solve for x
    x = 612,741.29/945.36
  6. Step 6: Final answer
    x = 648.16

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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.