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Finding the Fourth Proportional to 524.30, 785.93 and 293.45

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Solution

The fourth proportional to 524.30, 785.93 and 293.45 is: 439.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.30 : 785.93 = 293.45 : x
  2. Step 2: Convert to fraction form
    524.30/785.93 = 293.45/x
  3. Step 3: Cross multiply
    524.30x = 785.93 × 293.45
  4. Step 4: Simplify right side
    524.30x = 230,625.76
  5. Step 5: Solve for x
    x = 230,625.76/524.30
  6. Step 6: Final answer
    x = 439.88

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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.