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Finding the Fourth Proportional to 495.66, 683.22 and 390.57

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Solution

The fourth proportional to 495.66, 683.22 and 390.57 is: 538.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.66 : 683.22 = 390.57 : x
  2. Step 2: Convert to fraction form
    495.66/683.22 = 390.57/x
  3. Step 3: Cross multiply
    495.66x = 683.22 × 390.57
  4. Step 4: Simplify right side
    495.66x = 266,847.71
  5. Step 5: Solve for x
    x = 266,847.71/495.66
  6. Step 6: Final answer
    x = 538.37

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Why These Related Problems?

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