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Finding the Fourth Proportional to 509.56, 703.38 and 344.14

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Solution

The fourth proportional to 509.56, 703.38 and 344.14 is: 475.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.56 : 703.38 = 344.14 : x
  2. Step 2: Convert to fraction form
    509.56/703.38 = 344.14/x
  3. Step 3: Cross multiply
    509.56x = 703.38 × 344.14
  4. Step 4: Simplify right side
    509.56x = 242,061.19
  5. Step 5: Solve for x
    x = 242,061.19/509.56
  6. Step 6: Final answer
    x = 475.04

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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.