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Finding the Fourth Proportional to 598.92, 899.12 and 462.04

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Solution

The fourth proportional to 598.92, 899.12 and 462.04 is: 693.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.92 : 899.12 = 462.04 : x
  2. Step 2: Convert to fraction form
    598.92/899.12 = 462.04/x
  3. Step 3: Cross multiply
    598.92x = 899.12 × 462.04
  4. Step 4: Simplify right side
    598.92x = 415,429.40
  5. Step 5: Solve for x
    x = 415,429.40/598.92
  6. Step 6: Final answer
    x = 693.63

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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.