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Finding the Fourth Proportional to 605.32, 907.14 and 361.78

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Solution

The fourth proportional to 605.32, 907.14 and 361.78 is: 542.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.32 : 907.14 = 361.78 : x
  2. Step 2: Convert to fraction form
    605.32/907.14 = 361.78/x
  3. Step 3: Cross multiply
    605.32x = 907.14 × 361.78
  4. Step 4: Simplify right side
    605.32x = 328,185.11
  5. Step 5: Solve for x
    x = 328,185.11/605.32
  6. Step 6: Final answer
    x = 542.17

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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.