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Finding the Fourth Proportional to 597.36, 895.86 and 164.46

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Solution

The fourth proportional to 597.36, 895.86 and 164.46 is: 246.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.36 : 895.86 = 164.46 : x
  2. Step 2: Convert to fraction form
    597.36/895.86 = 164.46/x
  3. Step 3: Cross multiply
    597.36x = 895.86 × 164.46
  4. Step 4: Simplify right side
    597.36x = 147,333.14
  5. Step 5: Solve for x
    x = 147,333.14/597.36
  6. Step 6: Final answer
    x = 246.64

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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.