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Finding the Fourth Proportional to 524.37, 785.28 and 304.32

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Solution

The fourth proportional to 524.37, 785.28 and 304.32 is: 455.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.37 : 785.28 = 304.32 : x
  2. Step 2: Convert to fraction form
    524.37/785.28 = 304.32/x
  3. Step 3: Cross multiply
    524.37x = 785.28 × 304.32
  4. Step 4: Simplify right side
    524.37x = 238,976.41
  5. Step 5: Solve for x
    x = 238,976.41/524.37
  6. Step 6: Final answer
    x = 455.74

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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.