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Finding the Fourth Proportional to 592.20, 816.36 and 452.07

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Solution

The fourth proportional to 592.20, 816.36 and 452.07 is: 623.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.20 : 816.36 = 452.07 : x
  2. Step 2: Convert to fraction form
    592.20/816.36 = 452.07/x
  3. Step 3: Cross multiply
    592.20x = 816.36 × 452.07
  4. Step 4: Simplify right side
    592.20x = 369,051.87
  5. Step 5: Solve for x
    x = 369,051.87/592.20
  6. Step 6: Final answer
    x = 623.19

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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.