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Finding the Fourth Proportional to 524.08, 785.46 and 414.76

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Solution

The fourth proportional to 524.08, 785.46 and 414.76 is: 621.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.08 : 785.46 = 414.76 : x
  2. Step 2: Convert to fraction form
    524.08/785.46 = 414.76/x
  3. Step 3: Cross multiply
    524.08x = 785.46 × 414.76
  4. Step 4: Simplify right side
    524.08x = 325,777.39
  5. Step 5: Solve for x
    x = 325,777.39/524.08
  6. Step 6: Final answer
    x = 621.62

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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.