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Finding the Fourth Proportional to 524.72, 786.72 and 305.48

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Solution

The fourth proportional to 524.72, 786.72 and 305.48 is: 458.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.72 : 786.72 = 305.48 : x
  2. Step 2: Convert to fraction form
    524.72/786.72 = 305.48/x
  3. Step 3: Cross multiply
    524.72x = 786.72 × 305.48
  4. Step 4: Simplify right side
    524.72x = 240,327.23
  5. Step 5: Solve for x
    x = 240,327.23/524.72
  6. Step 6: Final answer
    x = 458.01

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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.