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Finding the Fourth Proportional to 495, 683.46 and 364.20

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Solution

The fourth proportional to 495, 683.46 and 364.20 is: 502.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    495 : 683.46 = 364.20 : x
  2. Step 2: Convert to fraction form
    495/683.46 = 364.20/x
  3. Step 3: Cross multiply
    495x = 683.46 × 364.20
  4. Step 4: Simplify right side
    495x = 248,916.13
  5. Step 5: Solve for x
    x = 248,916.13/495
  6. Step 6: Final answer
    x = 502.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.