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Finding the Fourth Proportional to 295.79, 441.56 and 234.30

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Solution

The fourth proportional to 295.79, 441.56 and 234.30 is: 349.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.79 : 441.56 = 234.30 : x
  2. Step 2: Convert to fraction form
    295.79/441.56 = 234.30/x
  3. Step 3: Cross multiply
    295.79x = 441.56 × 234.30
  4. Step 4: Simplify right side
    295.79x = 103,457.51
  5. Step 5: Solve for x
    x = 103,457.51/295.79
  6. Step 6: Final answer
    x = 349.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.