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Finding the Fourth Proportional to 395.51, 592.97 and 210.26

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Solution

The fourth proportional to 395.51, 592.97 and 210.26 is: 315.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.51 : 592.97 = 210.26 : x
  2. Step 2: Convert to fraction form
    395.51/592.97 = 210.26/x
  3. Step 3: Cross multiply
    395.51x = 592.97 × 210.26
  4. Step 4: Simplify right side
    395.51x = 124,673.86
  5. Step 5: Solve for x
    x = 124,673.86/395.51
  6. Step 6: Final answer
    x = 315.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.