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Finding the Fourth Proportional to 592.36, 817.74 and 418.12

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Solution

The fourth proportional to 592.36, 817.74 and 418.12 is: 577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.36 : 817.74 = 418.12 : x
  2. Step 2: Convert to fraction form
    592.36/817.74 = 418.12/x
  3. Step 3: Cross multiply
    592.36x = 817.74 × 418.12
  4. Step 4: Simplify right side
    592.36x = 341,913.45
  5. Step 5: Solve for x
    x = 341,913.45/592.36
  6. Step 6: Final answer
    x = 577.21

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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.