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Finding the Fourth Proportional to 597.68, 891.29 and 536.25

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Solution

The fourth proportional to 597.68, 891.29 and 536.25 is: 799.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.68 : 891.29 = 536.25 : x
  2. Step 2: Convert to fraction form
    597.68/891.29 = 536.25/x
  3. Step 3: Cross multiply
    597.68x = 891.29 × 536.25
  4. Step 4: Simplify right side
    597.68x = 477,954.26
  5. Step 5: Solve for x
    x = 477,954.26/597.68
  6. Step 6: Final answer
    x = 799.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.