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Finding the Fourth Proportional to 597.12, 896.49 and 577.68

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Solution

The fourth proportional to 597.12, 896.49 and 577.68 is: 867.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.12 : 896.49 = 577.68 : x
  2. Step 2: Convert to fraction form
    597.12/896.49 = 577.68/x
  3. Step 3: Cross multiply
    597.12x = 896.49 × 577.68
  4. Step 4: Simplify right side
    597.12x = 517,884.34
  5. Step 5: Solve for x
    x = 517,884.34/597.12
  6. Step 6: Final answer
    x = 867.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.