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Finding the Fourth Proportional to 523.50, 786.41 and 341.18

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Solution

The fourth proportional to 523.50, 786.41 and 341.18 is: 512.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.50 : 786.41 = 341.18 : x
  2. Step 2: Convert to fraction form
    523.50/786.41 = 341.18/x
  3. Step 3: Cross multiply
    523.50x = 786.41 × 341.18
  4. Step 4: Simplify right side
    523.50x = 268,307.36
  5. Step 5: Solve for x
    x = 268,307.36/523.50
  6. Step 6: Final answer
    x = 512.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.