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Finding the Fourth Proportional to 598.19, 896.50 and 232.77

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Solution

The fourth proportional to 598.19, 896.50 and 232.77 is: 348.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.19 : 896.50 = 232.77 : x
  2. Step 2: Convert to fraction form
    598.19/896.50 = 232.77/x
  3. Step 3: Cross multiply
    598.19x = 896.50 × 232.77
  4. Step 4: Simplify right side
    598.19x = 208,681.96
  5. Step 5: Solve for x
    x = 208,681.96/598.19
  6. Step 6: Final answer
    x = 348.86

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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.