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Finding the Fourth Proportional to 357.24, 492.84 and 259.08

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Solution

The fourth proportional to 357.24, 492.84 and 259.08 is: 357.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.24 : 492.84 = 259.08 : x
  2. Step 2: Convert to fraction form
    357.24/492.84 = 259.08/x
  3. Step 3: Cross multiply
    357.24x = 492.84 × 259.08
  4. Step 4: Simplify right side
    357.24x = 127,684.99
  5. Step 5: Solve for x
    x = 127,684.99/357.24
  6. Step 6: Final answer
    x = 357.42

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