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Finding the Fourth Proportional to 598.55, 896.40 and 460.58

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Solution

The fourth proportional to 598.55, 896.40 and 460.58 is: 689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.55 : 896.40 = 460.58 : x
  2. Step 2: Convert to fraction form
    598.55/896.40 = 460.58/x
  3. Step 3: Cross multiply
    598.55x = 896.40 × 460.58
  4. Step 4: Simplify right side
    598.55x = 412,859.43
  5. Step 5: Solve for x
    x = 412,859.43/598.55
  6. Step 6: Final answer
    x = 689.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.