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Finding the Fourth Proportional to 375.36, 560.97 and 346.17

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Solution

The fourth proportional to 375.36, 560.97 and 346.17 is: 517.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.36 : 560.97 = 346.17 : x
  2. Step 2: Convert to fraction form
    375.36/560.97 = 346.17/x
  3. Step 3: Cross multiply
    375.36x = 560.97 × 346.17
  4. Step 4: Simplify right side
    375.36x = 194,190.98
  5. Step 5: Solve for x
    x = 194,190.98/375.36
  6. Step 6: Final answer
    x = 517.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.