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Finding the Fourth Proportional to 357.12, 535.92 and 265.53

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Solution

The fourth proportional to 357.12, 535.92 and 265.53 is: 398.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.12 : 535.92 = 265.53 : x
  2. Step 2: Convert to fraction form
    357.12/535.92 = 265.53/x
  3. Step 3: Cross multiply
    357.12x = 535.92 × 265.53
  4. Step 4: Simplify right side
    357.12x = 142,302.84
  5. Step 5: Solve for x
    x = 142,302.84/357.12
  6. Step 6: Final answer
    x = 398.47

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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.