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Finding the Fourth Proportional to 598.48, 819.81 and 592

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Solution

The fourth proportional to 598.48, 819.81 and 592 is: 810.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.48 : 819.81 = 592 : x
  2. Step 2: Convert to fraction form
    598.48/819.81 = 592/x
  3. Step 3: Cross multiply
    598.48x = 819.81 × 592
  4. Step 4: Simplify right side
    598.48x = 485,327.52
  5. Step 5: Solve for x
    x = 485,327.52/598.48
  6. Step 6: Final answer
    x = 810.93

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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.