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Finding the Fourth Proportional to 437.18, 655.32 and 328.64

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Solution

The fourth proportional to 437.18, 655.32 and 328.64 is: 492.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.18 : 655.32 = 328.64 : x
  2. Step 2: Convert to fraction form
    437.18/655.32 = 328.64/x
  3. Step 3: Cross multiply
    437.18x = 655.32 × 328.64
  4. Step 4: Simplify right side
    437.18x = 215,364.36
  5. Step 5: Solve for x
    x = 215,364.36/437.18
  6. Step 6: Final answer
    x = 492.62

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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.