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Finding the Fourth Proportional to 605.40, 907.37 and 431.12

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Solution

The fourth proportional to 605.40, 907.37 and 431.12 is: 646.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.40 : 907.37 = 431.12 : x
  2. Step 2: Convert to fraction form
    605.40/907.37 = 431.12/x
  3. Step 3: Cross multiply
    605.40x = 907.37 × 431.12
  4. Step 4: Simplify right side
    605.40x = 391,185.47
  5. Step 5: Solve for x
    x = 391,185.47/605.40
  6. Step 6: Final answer
    x = 646.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.