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Finding the Fourth Proportional to 523.63, 785.45 and 306.95

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Solution

The fourth proportional to 523.63, 785.45 and 306.95 is: 460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.63 : 785.45 = 306.95 : x
  2. Step 2: Convert to fraction form
    523.63/785.45 = 306.95/x
  3. Step 3: Cross multiply
    523.63x = 785.45 × 306.95
  4. Step 4: Simplify right side
    523.63x = 241,094.31
  5. Step 5: Solve for x
    x = 241,094.31/523.63
  6. Step 6: Final answer
    x = 460.43

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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.