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Finding the Fourth Proportional to 605.07, 907.13 and 312.39

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Solution

The fourth proportional to 605.07, 907.13 and 312.39 is: 468.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.07 : 907.13 = 312.39 : x
  2. Step 2: Convert to fraction form
    605.07/907.13 = 312.39/x
  3. Step 3: Cross multiply
    605.07x = 907.13 × 312.39
  4. Step 4: Simplify right side
    605.07x = 283,379.12
  5. Step 5: Solve for x
    x = 283,379.12/605.07
  6. Step 6: Final answer
    x = 468.34

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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.