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Finding the Fourth Proportional to 603.88, 833.10 and 407.05

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Solution

The fourth proportional to 603.88, 833.10 and 407.05 is: 561.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.88 : 833.10 = 407.05 : x
  2. Step 2: Convert to fraction form
    603.88/833.10 = 407.05/x
  3. Step 3: Cross multiply
    603.88x = 833.10 × 407.05
  4. Step 4: Simplify right side
    603.88x = 339,113.36
  5. Step 5: Solve for x
    x = 339,113.36/603.88
  6. Step 6: Final answer
    x = 561.56

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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.