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Finding the Fourth Proportional to 597.49, 896.29 and 164.64

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Solution

The fourth proportional to 597.49, 896.29 and 164.64 is: 246.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.49 : 896.29 = 164.64 : x
  2. Step 2: Convert to fraction form
    597.49/896.29 = 164.64/x
  3. Step 3: Cross multiply
    597.49x = 896.29 × 164.64
  4. Step 4: Simplify right side
    597.49x = 147,565.19
  5. Step 5: Solve for x
    x = 147,565.19/597.49
  6. Step 6: Final answer
    x = 246.98

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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.