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Finding the Fourth Proportional to 357.65, 493.22 and 305.34

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Solution

The fourth proportional to 357.65, 493.22 and 305.34 is: 421.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.65 : 493.22 = 305.34 : x
  2. Step 2: Convert to fraction form
    357.65/493.22 = 305.34/x
  3. Step 3: Cross multiply
    357.65x = 493.22 × 305.34
  4. Step 4: Simplify right side
    357.65x = 150,598.71
  5. Step 5: Solve for x
    x = 150,598.71/357.65
  6. Step 6: Final answer
    x = 421.08

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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.