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Finding the Fourth Proportional to 524.59, 785.94 and 293.41

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Solution

The fourth proportional to 524.59, 785.94 and 293.41 is: 439.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.59 : 785.94 = 293.41 : x
  2. Step 2: Convert to fraction form
    524.59/785.94 = 293.41/x
  3. Step 3: Cross multiply
    524.59x = 785.94 × 293.41
  4. Step 4: Simplify right side
    524.59x = 230,602.66
  5. Step 5: Solve for x
    x = 230,602.66/524.59
  6. Step 6: Final answer
    x = 439.59

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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.