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Finding the Fourth Proportional to 524.20, 786.22 and 304.93

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Solution

The fourth proportional to 524.20, 786.22 and 304.93 is: 457.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.20 : 786.22 = 304.93 : x
  2. Step 2: Convert to fraction form
    524.20/786.22 = 304.93/x
  3. Step 3: Cross multiply
    524.20x = 786.22 × 304.93
  4. Step 4: Simplify right side
    524.20x = 239,739.40
  5. Step 5: Solve for x
    x = 239,739.40/524.20
  6. Step 6: Final answer
    x = 457.35

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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.