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Finding the Fourth Proportional to 597.38, 896.06 and 232.16

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Solution

The fourth proportional to 597.38, 896.06 and 232.16 is: 348.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.38 : 896.06 = 232.16 : x
  2. Step 2: Convert to fraction form
    597.38/896.06 = 232.16/x
  3. Step 3: Cross multiply
    597.38x = 896.06 × 232.16
  4. Step 4: Simplify right side
    597.38x = 208,030.37
  5. Step 5: Solve for x
    x = 208,030.37/597.38
  6. Step 6: Final answer
    x = 348.24

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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.