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Finding the Fourth Proportional to 605.80, 907.51 and 345.02

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Solution

The fourth proportional to 605.80, 907.51 and 345.02 is: 516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.80 : 907.51 = 345.02 : x
  2. Step 2: Convert to fraction form
    605.80/907.51 = 345.02/x
  3. Step 3: Cross multiply
    605.80x = 907.51 × 345.02
  4. Step 4: Simplify right side
    605.80x = 313,109.10
  5. Step 5: Solve for x
    x = 313,109.10/605.80
  6. Step 6: Final answer
    x = 516.85

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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.