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Finding the Fourth Proportional to 603.96, 833.34 and 417.15

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Solution

The fourth proportional to 603.96, 833.34 and 417.15 is: 575.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.96 : 833.34 = 417.15 : x
  2. Step 2: Convert to fraction form
    603.96/833.34 = 417.15/x
  3. Step 3: Cross multiply
    603.96x = 833.34 × 417.15
  4. Step 4: Simplify right side
    603.96x = 347,627.00
  5. Step 5: Solve for x
    x = 347,627.00/603.96
  6. Step 6: Final answer
    x = 575.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.