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Finding the Fourth Proportional to 523.62, 785.70 and 307.62

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Solution

The fourth proportional to 523.62, 785.70 and 307.62 is: 461.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.62 : 785.70 = 307.62 : x
  2. Step 2: Convert to fraction form
    523.62/785.70 = 307.62/x
  3. Step 3: Cross multiply
    523.62x = 785.70 × 307.62
  4. Step 4: Simplify right side
    523.62x = 241,697.03
  5. Step 5: Solve for x
    x = 241,697.03/523.62
  6. Step 6: Final answer
    x = 461.59

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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.