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Finding the Fourth Proportional to 443.04, 660.36 and 410.16

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Solution

The fourth proportional to 443.04, 660.36 and 410.16 is: 611.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.04 : 660.36 = 410.16 : x
  2. Step 2: Convert to fraction form
    443.04/660.36 = 410.16/x
  3. Step 3: Cross multiply
    443.04x = 660.36 × 410.16
  4. Step 4: Simplify right side
    443.04x = 270,853.26
  5. Step 5: Solve for x
    x = 270,853.26/443.04
  6. Step 6: Final answer
    x = 611.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.