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Finding the Fourth Proportional to 480.87, 659.75 and 433.08

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Solution

The fourth proportional to 480.87, 659.75 and 433.08 is: 594.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.87 : 659.75 = 433.08 : x
  2. Step 2: Convert to fraction form
    480.87/659.75 = 433.08/x
  3. Step 3: Cross multiply
    480.87x = 659.75 × 433.08
  4. Step 4: Simplify right side
    480.87x = 285,722.36
  5. Step 5: Solve for x
    x = 285,722.36/480.87
  6. Step 6: Final answer
    x = 594.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.