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Finding the Fourth Proportional to 603.54, 833.31 and 407.22

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Solution

The fourth proportional to 603.54, 833.31 and 407.22 is: 562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.54 : 833.31 = 407.22 : x
  2. Step 2: Convert to fraction form
    603.54/833.31 = 407.22/x
  3. Step 3: Cross multiply
    603.54x = 833.31 × 407.22
  4. Step 4: Simplify right side
    603.54x = 339,340.50
  5. Step 5: Solve for x
    x = 339,340.50/603.54
  6. Step 6: Final answer
    x = 562.25

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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.