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Finding the Fourth Proportional to 605.36, 907.42 and 410.38

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Solution

The fourth proportional to 605.36, 907.42 and 410.38 is: 615.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.36 : 907.42 = 410.38 : x
  2. Step 2: Convert to fraction form
    605.36/907.42 = 410.38/x
  3. Step 3: Cross multiply
    605.36x = 907.42 × 410.38
  4. Step 4: Simplify right side
    605.36x = 372,386.03
  5. Step 5: Solve for x
    x = 372,386.03/605.36
  6. Step 6: Final answer
    x = 615.15

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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.