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Finding the Fourth Proportional to 592.59, 816.42 and 468.21

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Solution

The fourth proportional to 592.59, 816.42 and 468.21 is: 645.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.59 : 816.42 = 468.21 : x
  2. Step 2: Convert to fraction form
    592.59/816.42 = 468.21/x
  3. Step 3: Cross multiply
    592.59x = 816.42 × 468.21
  4. Step 4: Simplify right side
    592.59x = 382,260.83
  5. Step 5: Solve for x
    x = 382,260.83/592.59
  6. Step 6: Final answer
    x = 645.06

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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.