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Finding the Fourth Proportional to 521.45, 785.23 and 385.46

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Solution

The fourth proportional to 521.45, 785.23 and 385.46 is: 580.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.45 : 785.23 = 385.46 : x
  2. Step 2: Convert to fraction form
    521.45/785.23 = 385.46/x
  3. Step 3: Cross multiply
    521.45x = 785.23 × 385.46
  4. Step 4: Simplify right side
    521.45x = 302,672.81
  5. Step 5: Solve for x
    x = 302,672.81/521.45
  6. Step 6: Final answer
    x = 580.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.