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Finding the Fourth Proportional to 357.48, 493.38 and 246.77

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Solution

The fourth proportional to 357.48, 493.38 and 246.77 is: 340.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.48 : 493.38 = 246.77 : x
  2. Step 2: Convert to fraction form
    357.48/493.38 = 246.77/x
  3. Step 3: Cross multiply
    357.48x = 493.38 × 246.77
  4. Step 4: Simplify right side
    357.48x = 121,748.92
  5. Step 5: Solve for x
    x = 121,748.92/357.48
  6. Step 6: Final answer
    x = 340.58

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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.