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Finding the Fourth Proportional to 603.90, 833.12 and 407.44

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Solution

The fourth proportional to 603.90, 833.12 and 407.44 is: 562.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.90 : 833.12 = 407.44 : x
  2. Step 2: Convert to fraction form
    603.90/833.12 = 407.44/x
  3. Step 3: Cross multiply
    603.90x = 833.12 × 407.44
  4. Step 4: Simplify right side
    603.90x = 339,446.41
  5. Step 5: Solve for x
    x = 339,446.41/603.90
  6. Step 6: Final answer
    x = 562.09

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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.