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Finding the Fourth Proportional to 375.06, 564.95 and 341.04

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Solution

The fourth proportional to 375.06, 564.95 and 341.04 is: 513.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.06 : 564.95 = 341.04 : x
  2. Step 2: Convert to fraction form
    375.06/564.95 = 341.04/x
  3. Step 3: Cross multiply
    375.06x = 564.95 × 341.04
  4. Step 4: Simplify right side
    375.06x = 192,670.55
  5. Step 5: Solve for x
    x = 192,670.55/375.06
  6. Step 6: Final answer
    x = 513.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.