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Finding the Fourth Proportional to 433.52, 598.68 and 409.28

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Solution

The fourth proportional to 433.52, 598.68 and 409.28 is: 565.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.52 : 598.68 = 409.28 : x
  2. Step 2: Convert to fraction form
    433.52/598.68 = 409.28/x
  3. Step 3: Cross multiply
    433.52x = 598.68 × 409.28
  4. Step 4: Simplify right side
    433.52x = 245,027.75
  5. Step 5: Solve for x
    x = 245,027.75/433.52
  6. Step 6: Final answer
    x = 565.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.