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Finding the Fourth Proportional to 375.12, 517.86 and 259.02

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Solution

The fourth proportional to 375.12, 517.86 and 259.02 is: 357.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.12 : 517.86 = 259.02 : x
  2. Step 2: Convert to fraction form
    375.12/517.86 = 259.02/x
  3. Step 3: Cross multiply
    375.12x = 517.86 × 259.02
  4. Step 4: Simplify right side
    375.12x = 134,136.10
  5. Step 5: Solve for x
    x = 134,136.10/375.12
  6. Step 6: Final answer
    x = 357.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.