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Finding the Fourth Proportional to 495.07, 683.16 and 285.21

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Solution

The fourth proportional to 495.07, 683.16 and 285.21 is: 393.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.07 : 683.16 = 285.21 : x
  2. Step 2: Convert to fraction form
    495.07/683.16 = 285.21/x
  3. Step 3: Cross multiply
    495.07x = 683.16 × 285.21
  4. Step 4: Simplify right side
    495.07x = 194,844.06
  5. Step 5: Solve for x
    x = 194,844.06/495.07
  6. Step 6: Final answer
    x = 393.57

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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.