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Finding the Fourth Proportional to 592.22, 817.08 and 395.93

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Solution

The fourth proportional to 592.22, 817.08 and 395.93 is: 546.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.22 : 817.08 = 395.93 : x
  2. Step 2: Convert to fraction form
    592.22/817.08 = 395.93/x
  3. Step 3: Cross multiply
    592.22x = 817.08 × 395.93
  4. Step 4: Simplify right side
    592.22x = 323,506.48
  5. Step 5: Solve for x
    x = 323,506.48/592.22
  6. Step 6: Final answer
    x = 546.26

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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.