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Finding the Fourth Proportional to 344.52, 514.58 and 295.92

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Solution

The fourth proportional to 344.52, 514.58 and 295.92 is: 441.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.52 : 514.58 = 295.92 : x
  2. Step 2: Convert to fraction form
    344.52/514.58 = 295.92/x
  3. Step 3: Cross multiply
    344.52x = 514.58 × 295.92
  4. Step 4: Simplify right side
    344.52x = 152,274.51
  5. Step 5: Solve for x
    x = 152,274.51/344.52
  6. Step 6: Final answer
    x = 441.99

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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.