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Finding the Fourth Proportional to 592.41, 817.50 and 368.31

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Solution

The fourth proportional to 592.41, 817.50 and 368.31 is: 508.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.41 : 817.50 = 368.31 : x
  2. Step 2: Convert to fraction form
    592.41/817.50 = 368.31/x
  3. Step 3: Cross multiply
    592.41x = 817.50 × 368.31
  4. Step 4: Simplify right side
    592.41x = 301,093.43
  5. Step 5: Solve for x
    x = 301,093.43/592.41
  6. Step 6: Final answer
    x = 508.25

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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.