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Finding the Fourth Proportional to 592.12, 812.61 and 536.74

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Solution

The fourth proportional to 592.12, 812.61 and 536.74 is: 736.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.12 : 812.61 = 536.74 : x
  2. Step 2: Convert to fraction form
    592.12/812.61 = 536.74/x
  3. Step 3: Cross multiply
    592.12x = 812.61 × 536.74
  4. Step 4: Simplify right side
    592.12x = 436,160.29
  5. Step 5: Solve for x
    x = 436,160.29/592.12
  6. Step 6: Final answer
    x = 736.61

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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.