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Finding the Fourth Proportional to 357.48, 492.55 and 246.74

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Solution

The fourth proportional to 357.48, 492.55 and 246.74 is: 339.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.48 : 492.55 = 246.74 : x
  2. Step 2: Convert to fraction form
    357.48/492.55 = 246.74/x
  3. Step 3: Cross multiply
    357.48x = 492.55 × 246.74
  4. Step 4: Simplify right side
    357.48x = 121,528.71
  5. Step 5: Solve for x
    x = 121,528.71/357.48
  6. Step 6: Final answer
    x = 339.96

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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.