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Finding the Fourth Proportional to 675.51, 932.21 and 426.93

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Solution

The fourth proportional to 675.51, 932.21 and 426.93 is: 589.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.51 : 932.21 = 426.93 : x
  2. Step 2: Convert to fraction form
    675.51/932.21 = 426.93/x
  3. Step 3: Cross multiply
    675.51x = 932.21 × 426.93
  4. Step 4: Simplify right side
    675.51x = 397,986.28
  5. Step 5: Solve for x
    x = 397,986.28/675.51
  6. Step 6: Final answer
    x = 589.16

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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.