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Finding the Fourth Proportional to 495.68, 683.43 and 364.46

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Solution

The fourth proportional to 495.68, 683.43 and 364.46 is: 502.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.68 : 683.43 = 364.46 : x
  2. Step 2: Convert to fraction form
    495.68/683.43 = 364.46/x
  3. Step 3: Cross multiply
    495.68x = 683.43 × 364.46
  4. Step 4: Simplify right side
    495.68x = 249,079.48
  5. Step 5: Solve for x
    x = 249,079.48/495.68
  6. Step 6: Final answer
    x = 502.51

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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.