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Finding the Fourth Proportional to 524.89, 788.07 and 293.93

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Solution

The fourth proportional to 524.89, 788.07 and 293.93 is: 441.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.89 : 788.07 = 293.93 : x
  2. Step 2: Convert to fraction form
    524.89/788.07 = 293.93/x
  3. Step 3: Cross multiply
    524.89x = 788.07 × 293.93
  4. Step 4: Simplify right side
    524.89x = 231,635.47
  5. Step 5: Solve for x
    x = 231,635.47/524.89
  6. Step 6: Final answer
    x = 441.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.