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Finding the Fourth Proportional to 357.76, 535.84 and 203.59

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Solution

The fourth proportional to 357.76, 535.84 and 203.59 is: 304.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.76 : 535.84 = 203.59 : x
  2. Step 2: Convert to fraction form
    357.76/535.84 = 203.59/x
  3. Step 3: Cross multiply
    357.76x = 535.84 × 203.59
  4. Step 4: Simplify right side
    357.76x = 109,089.82
  5. Step 5: Solve for x
    x = 109,089.82/357.76
  6. Step 6: Final answer
    x = 304.93

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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.