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Finding the Fourth Proportional to 597.84, 896.10 and 232.56

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Solution

The fourth proportional to 597.84, 896.10 and 232.56 is: 348.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.84 : 896.10 = 232.56 : x
  2. Step 2: Convert to fraction form
    597.84/896.10 = 232.56/x
  3. Step 3: Cross multiply
    597.84x = 896.10 × 232.56
  4. Step 4: Simplify right side
    597.84x = 208,397.02
  5. Step 5: Solve for x
    x = 208,397.02/597.84
  6. Step 6: Final answer
    x = 348.58

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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.