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Finding the Fourth Proportional to 385.77, 579.45 and 328.10

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Solution

The fourth proportional to 385.77, 579.45 and 328.10 is: 492.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.77 : 579.45 = 328.10 : x
  2. Step 2: Convert to fraction form
    385.77/579.45 = 328.10/x
  3. Step 3: Cross multiply
    385.77x = 579.45 × 328.10
  4. Step 4: Simplify right side
    385.77x = 190,114.65
  5. Step 5: Solve for x
    x = 190,114.65/385.77
  6. Step 6: Final answer
    x = 492.82

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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.