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Finding the Fourth Proportional to 598.31, 896.96 and 416.06

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Solution

The fourth proportional to 598.31, 896.96 and 416.06 is: 623.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.31 : 896.96 = 416.06 : x
  2. Step 2: Convert to fraction form
    598.31/896.96 = 416.06/x
  3. Step 3: Cross multiply
    598.31x = 896.96 × 416.06
  4. Step 4: Simplify right side
    598.31x = 373,189.18
  5. Step 5: Solve for x
    x = 373,189.18/598.31
  6. Step 6: Final answer
    x = 623.74

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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.