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Finding the Fourth Proportional to 598.69, 898.26 and 415.99

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Solution

The fourth proportional to 598.69, 898.26 and 415.99 is: 624.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.69 : 898.26 = 415.99 : x
  2. Step 2: Convert to fraction form
    598.69/898.26 = 415.99/x
  3. Step 3: Cross multiply
    598.69x = 898.26 × 415.99
  4. Step 4: Simplify right side
    598.69x = 373,665.20
  5. Step 5: Solve for x
    x = 373,665.20/598.69
  6. Step 6: Final answer
    x = 624.14

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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.