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Finding the Fourth Proportional to 594.09, 821.36 and 568.26

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Solution

The fourth proportional to 594.09, 821.36 and 568.26 is: 785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.09 : 821.36 = 568.26 : x
  2. Step 2: Convert to fraction form
    594.09/821.36 = 568.26/x
  3. Step 3: Cross multiply
    594.09x = 821.36 × 568.26
  4. Step 4: Simplify right side
    594.09x = 466,746.03
  5. Step 5: Solve for x
    x = 466,746.03/594.09
  6. Step 6: Final answer
    x = 785.65

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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.