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Finding the Fourth Proportional to 597.76, 825.01 and 528.20

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Solution

The fourth proportional to 597.76, 825.01 and 528.20 is: 729.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.76 : 825.01 = 528.20 : x
  2. Step 2: Convert to fraction form
    597.76/825.01 = 528.20/x
  3. Step 3: Cross multiply
    597.76x = 825.01 × 528.20
  4. Step 4: Simplify right side
    597.76x = 435,770.28
  5. Step 5: Solve for x
    x = 435,770.28/597.76
  6. Step 6: Final answer
    x = 729.01

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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.