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Finding the Fourth Proportional to 588.04, 810.73 and 456.82

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Solution

The fourth proportional to 588.04, 810.73 and 456.82 is: 629.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.04 : 810.73 = 456.82 : x
  2. Step 2: Convert to fraction form
    588.04/810.73 = 456.82/x
  3. Step 3: Cross multiply
    588.04x = 810.73 × 456.82
  4. Step 4: Simplify right side
    588.04x = 370,357.68
  5. Step 5: Solve for x
    x = 370,357.68/588.04
  6. Step 6: Final answer
    x = 629.82

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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.