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Finding the Fourth Proportional to 605.72, 907.43 and 508.86

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Solution

The fourth proportional to 605.72, 907.43 and 508.86 is: 762.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.72 : 907.43 = 508.86 : x
  2. Step 2: Convert to fraction form
    605.72/907.43 = 508.86/x
  3. Step 3: Cross multiply
    605.72x = 907.43 × 508.86
  4. Step 4: Simplify right side
    605.72x = 461,752.29
  5. Step 5: Solve for x
    x = 461,752.29/605.72
  6. Step 6: Final answer
    x = 762.33

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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.