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Finding the Fourth Proportional to 432.64, 648.27 and 302.08

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Solution

The fourth proportional to 432.64, 648.27 and 302.08 is: 452.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.64 : 648.27 = 302.08 : x
  2. Step 2: Convert to fraction form
    432.64/648.27 = 302.08/x
  3. Step 3: Cross multiply
    432.64x = 648.27 × 302.08
  4. Step 4: Simplify right side
    432.64x = 195,829.40
  5. Step 5: Solve for x
    x = 195,829.40/432.64
  6. Step 6: Final answer
    x = 452.64

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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.