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Finding the Fourth Proportional to 433.60, 657.92 and 433.60

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Solution

The fourth proportional to 433.60, 657.92 and 433.60 is: 657.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.60 : 657.92 = 433.60 : x
  2. Step 2: Convert to fraction form
    433.60/657.92 = 433.60/x
  3. Step 3: Cross multiply
    433.60x = 657.92 × 433.60
  4. Step 4: Simplify right side
    433.60x = 285,274.11
  5. Step 5: Solve for x
    x = 285,274.11/433.60
  6. Step 6: Final answer
    x = 657.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.