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Finding the Fourth Proportional to 405.17, 604.81 and 375.08

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Solution

The fourth proportional to 405.17, 604.81 and 375.08 is: 559.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.17 : 604.81 = 375.08 : x
  2. Step 2: Convert to fraction form
    405.17/604.81 = 375.08/x
  3. Step 3: Cross multiply
    405.17x = 604.81 × 375.08
  4. Step 4: Simplify right side
    405.17x = 226,850.26
  5. Step 5: Solve for x
    x = 226,850.26/405.17
  6. Step 6: Final answer
    x = 559.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.