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Finding the Fourth Proportional to 375.16, 561.84 and 344.38

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Solution

The fourth proportional to 375.16, 561.84 and 344.38 is: 515.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.16 : 561.84 = 344.38 : x
  2. Step 2: Convert to fraction form
    375.16/561.84 = 344.38/x
  3. Step 3: Cross multiply
    375.16x = 561.84 × 344.38
  4. Step 4: Simplify right side
    375.16x = 193,486.46
  5. Step 5: Solve for x
    x = 193,486.46/375.16
  6. Step 6: Final answer
    x = 515.74

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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.