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Finding the Fourth Proportional to 597.27, 895.78 and 164.32

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Solution

The fourth proportional to 597.27, 895.78 and 164.32 is: 246.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.27 : 895.78 = 164.32 : x
  2. Step 2: Convert to fraction form
    597.27/895.78 = 164.32/x
  3. Step 3: Cross multiply
    597.27x = 895.78 × 164.32
  4. Step 4: Simplify right side
    597.27x = 147,194.57
  5. Step 5: Solve for x
    x = 147,194.57/597.27
  6. Step 6: Final answer
    x = 246.45

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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.