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Finding the Fourth Proportional to 357.88, 535.12 and 265.68

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Solution

The fourth proportional to 357.88, 535.12 and 265.68 is: 397.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.88 : 535.12 = 265.68 : x
  2. Step 2: Convert to fraction form
    357.88/535.12 = 265.68/x
  3. Step 3: Cross multiply
    357.88x = 535.12 × 265.68
  4. Step 4: Simplify right side
    357.88x = 142,170.68
  5. Step 5: Solve for x
    x = 142,170.68/357.88
  6. Step 6: Final answer
    x = 397.26

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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.