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Finding the Fourth Proportional to 592.15, 816.41 and 405.32

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Solution

The fourth proportional to 592.15, 816.41 and 405.32 is: 558.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.15 : 816.41 = 405.32 : x
  2. Step 2: Convert to fraction form
    592.15/816.41 = 405.32/x
  3. Step 3: Cross multiply
    592.15x = 816.41 × 405.32
  4. Step 4: Simplify right side
    592.15x = 330,908.58
  5. Step 5: Solve for x
    x = 330,908.58/592.15
  6. Step 6: Final answer
    x = 558.82

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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.