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Finding the Fourth Proportional to 592.89, 817.76 and 435.47

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Solution

The fourth proportional to 592.89, 817.76 and 435.47 is: 600.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.89 : 817.76 = 435.47 : x
  2. Step 2: Convert to fraction form
    592.89/817.76 = 435.47/x
  3. Step 3: Cross multiply
    592.89x = 817.76 × 435.47
  4. Step 4: Simplify right side
    592.89x = 356,103.68
  5. Step 5: Solve for x
    x = 356,103.68/592.89
  6. Step 6: Final answer
    x = 600.62

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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.