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Finding the Fourth Proportional to 357.35, 492.48 and 258.93

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Solution

The fourth proportional to 357.35, 492.48 and 258.93 is: 356.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.35 : 492.48 = 258.93 : x
  2. Step 2: Convert to fraction form
    357.35/492.48 = 258.93/x
  3. Step 3: Cross multiply
    357.35x = 492.48 × 258.93
  4. Step 4: Simplify right side
    357.35x = 127,517.85
  5. Step 5: Solve for x
    x = 127,517.85/357.35
  6. Step 6: Final answer
    x = 356.85

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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.