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Finding the Fourth Proportional to 523.78, 785.67 and 307.06

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Solution

The fourth proportional to 523.78, 785.67 and 307.06 is: 460.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.78 : 785.67 = 307.06 : x
  2. Step 2: Convert to fraction form
    523.78/785.67 = 307.06/x
  3. Step 3: Cross multiply
    523.78x = 785.67 × 307.06
  4. Step 4: Simplify right side
    523.78x = 241,247.83
  5. Step 5: Solve for x
    x = 241,247.83/523.78
  6. Step 6: Final answer
    x = 460.59

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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.