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Finding the Fourth Proportional to 603.45, 833.15 and 414.71

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Solution

The fourth proportional to 603.45, 833.15 and 414.71 is: 572.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.45 : 833.15 = 414.71 : x
  2. Step 2: Convert to fraction form
    603.45/833.15 = 414.71/x
  3. Step 3: Cross multiply
    603.45x = 833.15 × 414.71
  4. Step 4: Simplify right side
    603.45x = 345,509.40
  5. Step 5: Solve for x
    x = 345,509.40/603.45
  6. Step 6: Final answer
    x = 572.56

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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.